Contradiction with Matthew 1:23
Matthew 1:23 refers to the child being called Emmanuel, while Luke 1:31 says the child should be named Jesus.
Matthew 1:23: Behold, a virgin shall be with child, and shall bring forth a son, and they shall call his name Emmanuel, which being interpreted is, God with us. [they...: or, his name shall be called]
Contradiction with Isaiah 7:14
Isaiah 7:14 speaks of a virgin bearing a son called Immanuel, contradicting Luke 1:31 where the son is named Jesus.
Isaiah 7:14: Therefore the Lord himself shall give you a sign; Behold, a virgin shall conceive, and bear a son, and shall call his name Immanuel. [shall call: or, thou, O virgin, shalt call]
Contradiction with John 7:42
John 7:42 mentions that Christ will come from Bethlehem, of the seed of David, which may contradict interpretations of lineage taken in Luke.
John 7:42: Hath not the scripture said, That Christ cometh of the seed of David, and out of the town of Bethlehem, where David was?
Contradiction with Psalm 2:7
This verse mentions "Thou art my Son; this day have I begotten thee," which could be seen as contradicting the notion of divine conception in Luke 1:31.
Psalm 2:7: I will declare the decree: the LORD hath said unto me, Thou [art] my Son; this day have I begotten thee. [the decree: or, for a decree]