Well the book of genesis starts with two different and contradicting creation stories. (ie 6 day creation vs Adam and Eve)
-In the 6 day creation story, man and women are both created last on the 6th day.
-In the adam and eve story, adam is created first (after the plants but before the birds/livestock)- he then goes on to name all the birds and livestock as God creates them. Only after no suitable helper is found does God create eve (woman).
-In the 6th day creation story, Man and Woman are created in the image of God.
-In the adam and eve story, adam is created in the image of god, and eve is created in the image of adam.
These contradiction are no big deal if your realize the author(s) are trying to tell us something about God, and something about humanity/sin/etc.. - and they are phrasing it in the cosmological understanding of their day. If your trying to take it as a scientific story, then it leads one to wonder why God couldn't even be bothered to get the details the same in both stories.
A metaphoric/symbolic interpretation works, a literal/actual one just raises more questions.
There are similar contradictions in the new testament - the most notable of which is the crucification dates of Jesus. In the gospel of John Jesus is crucified on the day of the preparation for the passover meal (ie Thursday) (John 19:14...), and in the other gospels he is crucified after the passover meal (ie Friday) (ex. Mark 14:12).
here is a chart laid out of some contradictions in the NT resurrection story alone = http://www.outreachjudaism.org/crucifix.html
This contradictions in the bible are not troublesome to a someone who believes the message/story is the inspired part, but the exact events/dates/times/words are left to fallible human memory. (the most logical explanation is that each book is told from a different perspective, and none of the books places the author of the book at all of the events mentioned in the book, so the authors are merely retelling the story as they remember it, and as other people related it to them.)
And thats not even getting into the geographical errors in mark (google it).