A well known apparent error in the Bible that skeptics have often pointed out is the issue of the historicity of Luke's record of a census while Quirinius was governor of Syria (Luke 2:1-2).
The following are some links to resources that will help Christians deal with the problem.
Controversial researcher Ernest L. Martin addressed the census in his bookThe Star of Bethlehem: The Star That Astonished the World.
Here's a link to Chapter 12
While I'm no longer a Roman Catholic, Catholic apologist Robert Sungenis wrote:
"Thanks to the work of Hugues de Nanteuil, we have found that the modern critics are wrong. Little known (or advertised by modern scholars) is that Josephus had two different dates for the death of Herod, and the interpretation of the source containing 4 B.C. is highly debatable. In Herod’s [sic] other work, he says Herod died in 7 or 8 BC."
If it's true that Josephus had two different dates for the death of Herod, then it would be a matter of fact that Josephus got it wrong at least once. Which also means Josephus could have gotten it wrong twice. Conversely, this also means that Luke could have gotten it right. In which case, skeptics put too much weight on this apparent Biblical error whenever they argue against Biblical Inerrancy. Unfortunately, Sungenis didn't give any more information in his reference to the work of Hugues de Nanteuil.
