Contradiction with Genesis 18:2
In Genesis 18:2, three men appear to Abraham, while in Luke 24:4, two men appear at the tomb.
Genesis 18:2: And he lift up his eyes and looked, and, lo, three men stood by him: and when he saw [them], he ran to meet them from the tent door, and bowed himself toward the ground,
Contradiction with Matthew 28:2-3
In Matthew 28:2-3, an angel appears at the tomb, whereas in Luke 24:4, two men in shining garments appear.
Matthew 28:2-3: And, behold, there was a great earthquake: for the angel of the Lord descended from heaven, and came and rolled back the stone from the door, and sat upon it. [was: or, had been]
Contradiction with Mark 16:5
In Mark 16:5, a young man in a white robe is seen in the tomb, while in Luke 24:4, two men are present.
Mark 16:5: And entering into the sepulchre, they saw a young man sitting on the right side, clothed in a long white garment; and they were affrighted.
Contradiction with John 20:12
In John 20:12, two angels are described sitting, while in Luke 24:4, two men stood by them.
John 20:12: And seeth two angels in white sitting, the one at the head, and the other at the feet, where the body of Jesus had lain.