DUI seems to be the biggest offense by far. Following their link, this does show that most of the NFL is "better behaved" than the general US population, for whatever that is worth. http://nflarrest.com/NFLArrestRate.php
We tend to hope that sports figures present a model for our youth, but heck..Babe Ruth had a pretty lengthy arrest record and his traffic violations were legendary. A warrant was even issued in Michigan one time for fishing without a license, over limit and a undersize species I assume they weren't supposed to keep.