This is in no way comprehensive, but is rather a cursory look at references to the Mystery of the Eucharist in the Syrian Liturgy of Saint James. As you know, there are many anaphorae in use among us, and so I won't look at all of them, but this should be useful to some, I hope.
From a Proemion, one of a few used on Sundays:
"Glory to the Good Lord Who broke His Body and gave us to eat and blended His Blood and gave us to drink and made us inherit His heavenly kingdom. To Him be glory, honor and worship at this time of the celebration of the Divine Eucharist and at all feasts, seasons, hours, times and all the days of our life and forever."
From the Proemion used on Sundays between the Epiphany and Great Lent:
"Praise be to the true Shepherd with Whose Body His flock is sustained and with Whose Precious Blood the thirst of His Church is quenched. The kind One with Whose Body all mouths are sanctified and lips are sweetened, Whose honor is worshiped by all the crowds and His glory sung by all the nations; at this time of the celebration of this Divine Eucharist and at all feasts, seasons, hours, times and all the days of our life forever and ever."
From the Sedro used on Sundays in Lent:
"I am ready, O my Lord, to offer Your Son before You, and to eat His Body and drink His Blood, for there is no other sacrifice that You would offer on my behalf, nor do I have sins that are hard unto Your will. Remember not my sins, O my Lord, and let them not remain unpardoned. Have compassion on me, a sinner. Sanctify me by Your Holy Spirit. Make Your people worthy to receive Your Holy and Life-giving Mysteries in purity and holiness. As for me, make me pure and spotless and worthy to always appear before You without sins so that I may thank Your Holy Name, O God the Father and Your Only-begotten Son and Your Holy Spirit, now, always and forever."
From the Sedro used during Pascha:
"We beseech You, O Most High and Infinite God, with the fragrance of this sweet incense, asking of Your indescribable love towards mankind to grant us to understand how great it is to stand before Your holy altar, while You grant us intellectual eyes to behold You, spiritual ears to hear Your commandments, a pure heart that sincerely makes supplication to You, clean thoughts that may be well-pleasing to Your Godhead, pure hands that administer Your Mysteries, lips that praise and give thanks to Your mercies, innocent tongues that glorify Your Name, holy mouths that partake of Your Body and spiritual palates that enjoy Your Blood. May our hunger be ever satisfied with Your richness and our thirst be quenched with the sweetness of Your fountain."
From the Sedro used on Sundays from Pentecost to Qoodosh 'Idto:
"O Christ our God, Who is received by the communion of His Mysteries and is eaten by taking His Body, the Bridegroom of the truth Who invited the peoples to the banquet of His passion and invited the nations to the feast of His death, the Good Shepherd Who gave Himself food for His flock and mixed His Blood a drink for His sheep, the Table of immortality Who spread Himself before the hungry to eat Him, the Fountain of incorruptibility Who, of His own will, made Himself flow for the thirsty to drink Him, the absolving Incense Who burned Himself to be smelled by those who were corrupted by sin, the Divine Eucharist (Margonitho) Who is distributed by the priest in the churches, the Cup of Salvation from which the peoples and the nations drink, but is never depleted, the heavenly Bread Who gave Himself to be broken at all times that He might satisfy our hunger and the Drink of delight Who humbled Himself that He might quench our thirst...grant that we may approach to receive Your atoning Body and Blood with purity and holiness and unite us with Your fellowship..."
The Deacon's acclamation at the lifting of the chalice veil:
"Barekhmor. Let us stand well, let us stand with fear, let us stand with modesty, purity and holiness and let us all stand, my brethren, in love and true faith. Let us intelligently behold, with the fear of God, this awesome and Holy Eucharist which is being set before us by this reverend priest who, in peace and tranquillity, offers this living sacrifice on behalf of us all to God the Father, Lord of all."
The Epiclesis:
"So that, by His indwelling, He (the Holy Spirit) may make this bread the life-giving Body +, the Redeeming Body + and the Body + of Christ our God...And may He (the Holy Spirit) perfect this cup into the Blood + of the New Covenant, the Redeeming Blood + and the Blood + of Christ our God."
From the priest's silent prayer before the first diptych:
"We offer You, O Lord, this bloodless sacrifice on behalf of Holy Zion*, the mother of all Churches, and on behalf of Your Holy Church throughout the whole world, that You may grant her the gift of Your Holy Spirit."
One of the hymns that can be sung during the Fraction:
"I was a lost and wandering sheep.
The Church responded, saying:
I was scattered and dispersed,
Lo! My Shepherd went out in search of me, and found me.
He carried me and put me on His shoulder,
And brought me into His fold of life,
He set before me the table of life:
His atoning Body and Blood,
So that, wherewith, my children and I together be always sustained.
Therefore, my children and I, with one accord,
Cry out unto Him, saying:
Holy, holy, holy are You,
O Son, Who gave us His Body and Blood.
Holy are You, O Son of God;
Blessed be Your honor from Your dwelling place."
The prayer of the Fraction:
"Thus truly the Word of God did suffer in flesh, and was sacrificed and broken on the Cross, and His soul separated from His Body, while His Godhead never separated neither from His Soul nor from His Body. And He was pieced in His side with a spear, and there flowed out of Him blood and water, the atonement of the whole world. And his Body was stained with them. And for the sin of the whole world, the Son died on the Cross, and His Soul came and united with His Body. And He turned us from the work of the left to that of the right. And by the Blood of His Person, He reconciled, united and combined the heavenly with the earthly, the people with the gentiles and the Soul with the Body. And on the third day, He rose from the tomb. One is Emmanuel, and cannot be divided into two natures after the indivisible unity. Thus we believe and thus we confess and thus we confirm that this Flesh is of this Blood and that this Blood is of this Flesh."
From a homily of Mar Yaqub recited by the priest at the Fraction:
"O Father of truth, behold Your Son, the well-pleasing sacrifice unto You, Accept You Him Who died for me, and may I be forgiven through Him. Receive this offering from my hands and reconcile with me. And remember not the sins I committed before Your greatness. Behold His Blood is shed on Golgotha by the wicked, and it is pleading for me."
From a hymn that can replace the Quqalya when needed:
"The heavenly hosts stand with us in the sanctuary and exalt the Body and Blood of the Son of God Who is sacrificed before us. Come near, O faithful, partake of Him for the remission of offenses and sins, halleluiah, halleluiah, halleluiah, O Christ the King, halleluiah."
The prayer before Communion:
"Make me worthy, O Lord to partake of You with holiness and, by eating Your Holy Body, may my worldly desires be put away and, by drinking Your Living Cup, may my passions be suppressed. And by You, may I be worthy of the remission of debts and forgiveness of sins, our Lord and our God, forever."
When the priest administers Communion to himself:
"I am holding You, Who uphold the boundaries of the world; I am grasping You, Who rule the depths. You, O God, I put in my mouth. By You I shall be delivered from the unquenchable fire and be worthy of the forgiveness of sins, like the sinful woman and the thief, O our Lord and God, forever.
By Your Living and Life-giving Blood which was shed on the Cross, may my offenses be pardoned and my sins be remitted, O Jesus the Word of God, Who came for our salvation and will come for our resurrection and for the restoration of our kind, forever and ever. Amen."
When giving Communion to others:
"The atoning gmourto of the Body and Blood of Christ our God is given to the faithful for the remission of offenses and for the forgiveness of sins in both worlds forever and ever."
During the first procession with the Holy Mysteries:
"Stretch out, O Lord God, Your invisible right hand and bless this congregation of Your worshipers who are prepared to receive Your Precious Body and Blood for the remission of debts, the forgiveness of sins and confidence in Your presence, our Lord and our God, forever."
During the second procession, after Communion:
"Glory be to You, glory be to You, glory be to You, our Lord and our God, forever. Our Lord, Jesus Christ, let not Your Holy Body, which we have eaten, and Your Atoning Blood, which we have drunk, be unto us for judgment nor for revenge, but for eternal life and for the redemption of all of us, and have mercy upon us."
A post-Communion hymn of Mar Yaqub:
"The Lord Whom the seraphs fear to look at,
The same you behold in bread and wine on the altar.
The lightning clothed hosts are burned if they see Him in His brilliance.
Yet the contemptible dust partakes of Him with confidence.
The Son's Mysteries are fire among the heavenly beings,
Isaiah bears witness with us to have seen them.
These Mysteries which were in the Divinity's bosom,
Are distributed to Adam's children on the altar.
The altar is fashioned like the cherubim's chariot,
And is surrounded by the heavenly hosts.
On the altar is laid the Body of God's Son,
And Adam's children carry it solemnly on their hands.
Instead of a man clad in linen, stands the (priest),
And distributes alms (the Eucharist) among the needy.
If envy existed among the angels,
The cherubim would have envied men.
Where Zion set up the Cross to crucify the Son,
There grew up the tree that gave birth to the Lamb.
Where nails were driven in the Son's hands,
There Isaac's hands were bound for an offering.
Welcome, priest, who carries the Mysteries of his Lord,
And with his right hand distributes life to men.
Welcome, priest, who carries a pure censer,
And with its fragrance makes the world sweet and pleasant.
Welcome, priest, whom the Holy Spirit did raise up,
And on his tongue bears the keys to the house of God.
Welcome, priest, who binds man in the depth below,
And the Lord binds him in heaven on high. Halleluiah.
Welcome, priest, who unbinds men on earth,
And the Lord unbinds him in the highest. Kyrie eleison.
Praise be to the Lord. His mercy upon you and absolution for me.
And good commemoration to Mor Jacob the malphono."
When cleansing the Paten:
"If there be a particle remaining, it remains to Your knowledge that created the worlds; if there be a remaining portion, O God, be its Guardian and to me be the Absolver and Forgiver."
And while consuming the remaining Holy Mysteries within the chalice:
"O Christ our God, may the living fire of Your Body and Your Precious Blood quench the flames of fire and the dreadful and violent tortures from my limbs and from the souls and bodies of the faithful departed who have been clothed with You from water and the Spirit. Call and raise them on the last day and make them stand at Your right-hand side, our Lord and our God, forever."
A hymn after the cleansing of the vessels:
Verse: Our Lord Jesus Christ:
Let not, O Lord, Your Body and Your Blood which we have received, be for us unto judgment and vengeance, but for pardoning of sins and for a standing at Your right-hand side, halleluiah, with confidence.
Verse: And You shall give them to drink of the pleasant water of Your spring.(Psalm 36:8)
Your Body which we have received, and Your Living Blood which we have drunk with faith, may they be a bridge and a passage wherewith we may be delivered from the fire and from hell, halleluiah, and inherit life.
Glory be to the Father and to the Son and to the Holy Spirit.
To You, O Christ the King, oblations are offered by the priests, Your servants. Accept them, O Good Lord, through Your compassion. And be reconciled with us by Your grace, halleluiah, and may we be pardoned by them.
From eternity to eternity. Amen.
The hands that stretched out their palms** to receive the pledge from You, O Son of God, let them not be restrained by the vehemence of the flame on the last day, halleluiah, because they solemnly carried Your Body.
While putting on his cassock after taking off the priestly vestments:
"If by the blood of animals, Moses gave life to Reuben who had sinned, how much more will the faithful departed be pardoned by the living sacrifice that has been offered on their behalf."
While kissing the holy table before leaving the altar:
"Remain in peace, O holy altar. Remain in peace, O pardoning table.
Remain in peace, O majestic throne that carries its Master. May the Body and the Blood that I have received from you be for the remission of my offenses, for the forgiveness of my sins and for the everlasting new life, now and forever and ever. Amen."
And last, but not least, the propers of Holy Thursday:
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Proemion
Glory to that Substance which is exalted over all substances, thanksgiving to the Goodness that surpasses all goodness and is the Giver of perfect gifts. Worship to the Godhead of Three Persons and One in essence, the Lordship of holiness, by Whose radiance the conceivable and perceptible hosts are enlightened and by Whose glory they advance in priestly hierarchy; that Perfecter of pontiffs, Adorner of priests, Giver of grace, Who is full of the Mysteries of Life. That Godhead Who is thrice hallowed by the heavenly orders in the three divine companies by the chanting of the Trisagion in the heavenly Church, and Who is honored, praised, glorified, exalted and extolled by high priests and deacons in the earthly Church. To Him we offer praise and adoration at this time of the celebration of the Divine Eucharist and at all feasts, seasons, hours, times and all the days of our lives forever.
Sedro
O God, Who is good by His nature and gives holiness to the holy by His grace; Who broke His absolving Body for His holy disciples and mixed His precious Blood for the atonement of all the faithful, and commanded and admonished His disciples, saying to them: "This you do in remembrance of Me." Even now, O Lord, by the mercies of Your goodness, You have called and drawn me near to this spiritual service, although I am not worthy, and by virtue of Your kindness, You have made me worthy to offer up this divine and atoning sacrifice by the indwelling of the Holy Spirit. Therefore, while considering this divine and spiritual sacrifice, we celebrate with spiritual gladness, and say: This is the divine sacrifice which is the Lamb of God Who takes away the sins of the world and is bestowed upon us for our salvation. This is the divine sacrifice by which our spots and stains are made white. This is the divine sacrifice through which those who are perfect ascend on high to heaven. This is the bloodless divine sacrifice which is offered for the life of the world. This is the divine sacrifice which Abel, the high priest, depicted by his acceptable offering. This is the divine sacrifice which was given to us, the redeemed faithful, as a pledge of heavenly promise. This is the divine sacrifice that was granted an armor of salvation to our souls and bodies. This is the divine sacrifice by which the offenses and sins of the penitents are absolved and forgiven. This is the divine sacrifice which was made manifest by David the prophet of the Holy Spirit who said: "Taste and see that the Lord is good." This is the divine sacrifice through which the high priest Jeshua, the son of Jozadak, took off his filthy garments. This is the divine sacrifice which has been depicted by all the just and the righteous through their hidden mysteries. This is the divine sacrifice which was committed in trust to the prophet Isaiah by the tongs of fire. This is the divine sacrifice that was depicted by the bread and wine which the high priest Melchizedek offered. This is the divine sacrifice which the prophet of the Lord made its glorious image manifest by the lamb that was slain in the evenings. This is the divine sacrifice which the fathers of ancient times expected to see, but did not see clearly. This is the divine sacrifice through which the nations, who were born again, have their sins absolved, their stains cleansed and their shortcomings forgiven. This is the divine sacrifice that gives the faithful the Life-giving Body and the Absolving Blood. This is the divine sacrifice which was depicted by Moses the chief prophet by the shewbread that was kept on the altar. This is the divine sacrifice before whom the fiery cherubim stand trembling and the awesome seraphim shaking. This is the divine sacrifice on which the Holy Spirit, Who is equal to the Father and to His Only-begotten Son, descends and sanctifies. This is the divine sacrifice which the heavenly Father fulfilled, the beloved Son perfected and the Holy Spirit sanctified. This is the divine sacrifice which the Trinity of the Godhead made perfect by the sufferings of His Person. We make supplication and offer petition, by this sweet incense, that He may wash our defilements by His mercies, absolve our guilt by His compassion and forgive our transgressions and shortcomings by the abundance of His heavenly gifts. May He be with us and among us, and may He make us and our faithful departed worthy of His Majesty's glory, that of His Blessed Father, Who sent Him for our salvation, and that of His Holy Spirit, now, always and forever.
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Maybe all of this is more than you wanted, but I hope it helps.
*We still offer the Liturgy in the first place for our Church, the Church at Jerusalem, the mother of all Churches...it's one of our many ties to Jerusalem.
**Didn't Saint Cyril talk about receiving the Eucharist in the palms of one's hands? Perhaps this remains from a time when this actually was our practice in Jerusalem?