If you’re looking for a review on this game you've come to the wrong place.

Welcome to (spoilers ahead)

Names:
1. Biblical «Covenant» is a formal alliance/agreement made by God with people. Opening scene of «Alien: Covenant» shows us the covenant of David and Weyland. Opening scene of «Prometheus» shows us scene of sacrifice, referring to mythological Prometheus.
2. Ark of the Covenant. A gold-covered wooden chest described in the Book of Exodus as containing the stone tablets of the Ten Commandments. According to the Hebrew Bible, it also contained Aaron's rod and a pot of manna.
3. Another Ark: Covenant's crew is made up entirely of married couples, referring to the myth about Noah's Ark. Also notice that David puts TWO embryos in the container.
4. Film's working title was «Alien: Paradise Lost». John Milton's «Paradise Lost» is an epic poem based on the biblical story of the Fall of Man: the temptation of Adam and Eve by the fallen angel Satan and their expulsion from Eden.
5. LV-426 (or Acheron). Leviticus 4:26 — He shall burn all the fat on the altar as he burned the fat of the fellowship offering. In this way the priest will make atonement for the leader's sin, and he will be forgiven. Acheron — river of woe or the beast with multiple throats (named after the river) from 12th-century religious text «The Vision of Tnugdalus».
6. LV-223 Leviticus 22:3 — Say to them: If any man from any of your descendants throughout your generations is in a state of uncleanness yet approaches the holy offerings that the Israelites consecrate to the LORD, that person will be cut off from My presence; I am Yahweh.
7. Prologue «The Last Supper». Nuff said.

Covenant's crew doesn't wear hazard suits or any other protection on an alien planet. It refers to the nakedness of Adam and Eve in Paradise.
>And the eyes of them both were opened, and they knew that they were naked; and they sewed fig-leaves together, and made themselves girdles

Colonists' dropship lands on the water. Jesus walked on water.

Wheat/bread — Christ's flesh. Black goo — blood?

Scene of David teaching Walter to play flute refers to similar scene in Hamlet, even repeating part of the dialogue.

David plays «Life» from Prometheus on his flute.

David thinks that he quotes Byron, but it's actually Percy Shelley, the author of «Prometheus Unbound», who compares titan Prometheus from his poem with Satan, the fallen angel from Milton's poem. Both of them disobeyed God/Zeus and were punished. Percy Shelley was also was married to Mary Shelley, the author of «Frankenstein: The Modern Prometheus», a story about Victor Frankenstein, a scientist who plays God to create a monster hating his creator and dies because of this.
So Davis is the modern Prometheus or «Frankenstein's monster», an acrtificial human who hates his creator (and caused his death to some extent) but also mythological Prometheus and Satan at the same time. And the Engineers' planet is Paradise.

David quotes «Ozymandias», a sonnet by Shelley inspired by inscription on the base of the statue of Ramesses II discovered in Egypt:
And on the pedestal these words appear:
'My name is Ozymandias, king of kings:
Look on my works, ye Mighty, and despair!'
Nothing beside remains. Round the decay
Of that colossal wreck, boundless and bare
The lone and level sands stretch far away.

Shelley's friend, Horace Smith, also wrote a poem on same subject. So both David and sonnet he quotes have very different twin.

A bit more about Shelley:
>By depicting that colossus decapitated and in ruins, Shelley, who felt dwarfed by the genius and celebrity of Byron, prophesies the day when the sun would finally set on the literary empire of the poet whom he despaired of rivaling.
>David has clearly gone a bit insane; the ability to create without the ability to sort good creations from bad ones has led him to strange places. Perhaps he knows his creations need to be too dumb and short-lived to consider that. When Walter points out that a bad note can ruin the symphony (your presumption to "create" rests on bad ground, and was poorly conceived and quickly corrected) and points out he doesn't even really know the poet he quotes (Shelley and Byron were close, but Ozymandias was by Shelley) David is clearly a bit shaken. A God shouldn't ever be wrong.

Scene of David talking to Walter near Elisabeth's grave visually recreates Arnold Böcklin's painting «Isle of the Dead». The oarsman is usually interpreted as representing Charon from Greek mythology. The water would then be either Styx or Acheron. H. R. Giger also created his version of this painting.

Docking station from David's flashback has a sling shape, referring to biblical story of David and Goliath (engineers). Opening scene shows us the statue of same David and the painting behind the chair is Piero Della Francesca's «The Nativity», it shows the birth of Jesus Christ (rhyming with the birth of David and later a xenomorph).

Engineers genocide:
>You and all your troops and the many nations with you will go up, advancing like a storm; you will be like a cloud covering the land. ‘This is what the Sovereign LORD says: On that day thoughts will come into your mind and you will devise an evil scheme. You will say, “I will invade a land of unwalled villages; I will attack a peaceful and unsuspecting people—all of them living without walls and without gates and bars. I will plunder and loot and turn my hand against the resettled ruins and the people gathered from the nations, rich in livestock and goods, living at the center of the land.” — Ezekiel 38:9-12

«Nietzschean superhuman» is one of the central themes of this kino. We see references to Byron, Wagner (whose music influenced the concept of superhuman a lot). Wagner's music also refers to the Gods' death («The Ring of the Nibelung» cycle)

Demiurge is one of key figures in gnosticism. It presents the Demiurge as antagonistic to the will of the Supreme Being: his act of creation occurs in unconscious semblance of the divine model, and thus is fundamentally flawed, or else is formed with the malevolent intention of entrapping aspects of the divine in materiality. In Gnostic mythos Demiurge's mother, Sophia, desired to create something apart from the divine totality, without the receipt of divine assent, giving birth to the monstrous Demiurge, just like Peter Weyland created David.

Elizabeth Shaw — The Holy Virgin Mary, mother of God. While being infertile she gave birth to xenomorph and deacon. Deacon was born from engineer’s (God) impregnation by Trilobite (born by infertile Shaw), was also depicted crucified on murals in derelict ship. Xenomorph was created by David (new God) during experiments on Elizabeth. During his birth xenomorph took a «crucified» pose (Jesus). Oram’s FAITH has also played important role here.

Crane claw — analogy of xenomorph’s inner jaw. Alien got caught in his own jaw, obvious reference to serpent Ouroboros biting his own tail, it symbolizes eternity and infinity, life and death (cycle of life and death in one of key the themes of prequels). Crane claw also represents ancient greek deity Cronus, who was eating his own children. He was often identified with Chronos, Personification of Time, representing the destructive ravages of time which consumed all things. Everything is born and disappers in time (remember «Ozymandias»?).

Masterfully created by Sir Scott illusion of plot holes leads viewer to another biblical reference:
> And carry these ten CHEESES unto the captain of their thousand, and look how thy brethren fare, and take their pledge. — 1 Samuel 17:18