My favorite is from Friends University of Kansas. Friends University is a non-denominational Christian school, but as you might guess, it was originally founded by the Society of Friends (Quakers). Although their sports teams are now called the Falcons, at one time they had the self-contradictory name "Fighting Quakers". Quakers, for those of you who don't know, are generally pacifists.
Any time you can combine sports, logic and religion, that's a winner.