Contradiction with Matthew 22:32
Jesus affirms that God is the God of the living, using the reference to Abraham, Isaac, and Jacob, indicating they are alive in God, which some interpret as contradicting the literal interpretation that they are simply ancestors.
Matthew 22:32: And when the multitude heard [this], they were astonished at his doctrine.
Contradiction with 1 Corinthians 10:4
This verse speaks of Christ being the "spiritual Rock" that followed the Israelites, which some might see as contradicting the singular focus on God as the one appearing to Moses in Exodus 3:6.
1 Corinthians 10:4: And did all drink the same spiritual drink: for they drank of that spiritual Rock that followed them: and that Rock was Christ. [followed...: or, went with them]
Contradiction with Exodus 6:3
God tells Moses that He appeared to Abraham, Isaac, and Jacob as God Almighty, but by His name Jehovah was He not known to them, which could be seen as a contradiction to the directness of God's revelation in Exodus 3:6.
Exodus 6:3: And I appeared unto Abraham, unto Isaac, and unto Jacob, by [the name of] God Almighty, but by my name JEHOVAH was I not known to them.