Auburn is the only school I know who go by three different names. The Tigers, War Eagles, and Plainsmen. The Iron Bowl is intense! So is Georgia v Florida. Tennessee v Alabama used to be, till the SEC split.
But for a downright rivalry of tradition, intensity, and laughs, you must be a part of Grambling v Southern. Do you dare? The only regular contests where I have seen more intensity by the people involved is Duke v NC basketball, and Germany v Russia warfare!
Doug