Contradiction with Matthew 8:6
In Matthew, the centurion himself comes to Jesus, whereas in Luke, it is the elders of the Jews who approach Jesus on his behalf.
Matthew 8:6: And saying, Lord, my servant lieth at home sick of the palsy, grievously tormented.
Contradiction with Matthew 8:13
Jesus performs the miracle without visiting the centurion’s house in Matthew, contradicting Luke where Jesus starts toward the house.
Matthew 8:13: And Jesus said unto the centurion, Go thy way; and as thou hast believed, [so] be it done unto thee. And his servant was healed in the selfsame hour.
Contradiction with John 4:47-50
In John, a nobleman goes to Jesus for healing, showing a different approach and response compared to the account in Luke.
John 4:47-50: When he heard that Jesus was come out of Judaea into Galilee, he went unto him, and besought him that he would come down, and heal his son: for he was at the point of death.