Contradiction with Matthew 15:23
Jesus initially seems to ignore the Canaanite woman's request for help, which contrasts with welcoming children brought to Him.
Matthew 15:23: But he answered her not a word. And his disciples came and besought him, saying, Send her away; for she crieth after us.
Contradiction with Mark 10:14
Expresses similar sentiment to Matthew 19:13, consistent rather than contradictory.
Mark 10:14: But when Jesus saw [it], he was much displeased, and said unto them, Suffer the little children to come unto me, and forbid them not: for of such is the kingdom of God.
Contradiction with Luke 9:51-56
Jesus rebukes His disciples for wanting to call down fire on a Samaritan village, contrasting with receiving children with open arms and blessings in Matthew 19:13.
Luke 9:51-56: And it came to pass, when the time was come that he should be received up, he stedfastly set his face to go to Jerusalem,
Contradiction with John 4:1-42
Jesus engages in a long conversation with a Samaritan woman, which is inclusive but different in manner from how children are rapidly welcomed in Matthew 19:13.
John 4:1-42: When therefore the Lord knew how the Pharisees had heard that Jesus made and baptized more disciples than John,
Contradiction with Matthew 15:24
Jesus states He was sent only to the lost sheep of Israel, which could be seen as restrictive compared to the inclusive welcoming of children in Matthew 19:13.
Matthew 15:24: But he answered and said, I am not sent but unto the lost sheep of the house of Israel.