The Arizona Cardinals. My dad picked them (he never liked football) because he wanted a team that would lose reliably and that he never had to stress out about. (He hated how angry my mother and I become over the Skins and Chiefs.) And of course, two years later, they were in the super bowl. (Which was an absolutely incredible run, by the way.)
It doesn't hurt that Larry Fitzgerald is my favorite NFL player, he is the definition of class.