There could be errors in the Bible that clearly contradict with a stated doctrine. For instance, Jesus's statement in Mark 4:31 that the mustard seed was smaller than all other seeds on earth was a clear contradiction of his alleged omniscience, for it was obviously untrue.
Another instance might be in Mark 2:23-27, when the Pharisees challenged him because his disciples were plucking heads of grain, which was unlawful on the Sabbath. Jesus then replies, “Have you never read what David did when he was in need and hungry, he and those with him: how he went into the house of God in the days of Abiathar the high priest, and ate the showbread, which is not lawful to eat except for the priests, and also gave some to those who were with him?” The only problem is that according to the text of the incident he cites, (1 Samuel 21:1-6), it is Ahimelech, not his son Abiathar, who is the high priest, which is a clear contradiction.
Or we might consider the contradiction between the incident recounted in Acts 9:26, in which Paul attempted to join the disciples in Jerusalem after departing from Damascus but was not admitted because of his Christian hunting past, as opposed to his statement in Galatians 1:17 that he had never gone to them at all.
Perhaps more damning is the fact that the Gospel of Mark, (which was likely the first Gospel written), recounts that the Passover had started before Jesus was killed, (Mark 14:12 & 15:25), and that the "first day of unleavened bread" (Nisan 14) had occurred, whereas the Gospel of John claims that Jesus had been crucified prior to the consumption of the Passover meal. (John 19:14). In addition, in Mark 15:25, Mark claims that Jesus was crucified in "the third hour," whereas John claims in John 19:14 that it was "about the sixth hour." Even if we were to assume that John used the Roman method of reckoning time rather than the Jewish method, this still presents a chronological difficulty in that Mark's "third hour" would have been about 9:00 AM, whereas John's "sixth hour" would have been about 6:00 AM.
Now, Christians do have a traditional, (if convoluted), response to part of this contradiction, however, and I shall be curious to see if you shall repeat it.