Contradiction with Matthew 11:14
This verse suggests that John the Baptist was the prophesied Elijah, which could be seen as a contradiction to the identity and role highlighted for John in Acts 13:24.
Matthew 11:14: And if ye will receive [it], this is Elias, which was for to come.
Contradiction with John 1:21
In this verse, John denies being Elijah or 'that prophet,' while Acts 13:24 speaks of him in the role preparing the way, which some may interpret as contradictory to his own denial.
John 1:21: And they asked him, What then? Art thou Elias? And he saith, I am not. Art thou that prophet? And he answered, No. [that prophet: or, a prophet?]
Contradiction with Matthew 17:12
Here, it is noted that Elijah has already come and was not recognized, contrasting with the preparation role for Jesus in Acts 13:24.
Matthew 17:12: But I say unto you, That Elias is come already, and they knew him not, but have done unto him whatsoever they listed. Likewise shall also the Son of man suffer of them.