Obviously Creationism and other literal scriptural interpretations are the most obvious conflicts with logic and reason, but they aren't the only ones. Consider the idea of the "soul" and "afterlife". It's not reasonable to think that we can live on after our bodies and brains have decomposed. Only faith supports such an idea.

The essence of any religion, including Christianity, is that logic and reason are less important than faith. There's no question that when convenient, religion would like to go along with logic and reason. The problem is when they conflict with faith, the religious are supposed to go with faith.