Ole Miss
If your dad raised you right you hate Ole Miss and hope the whole place goes to Hell. If they had stayed on SEC elite level since schools had desegregated this wouldn't even be a question, but they didn't and I hope they never win another game. Despite their programs troubles it's still an extremely competitive series. Geaux to Hell.
UF
Frick you for stomping on the eye, big game every year, but rival in the context of college football where you only get one or two, no.
Auburn
I hope tommy asshat Tubberville dies a painful cigar related death, but since he left it's like Florida, huge, important, exciting game but the hate isn't Ole Miss hate. It's just regular SEC hate (which is still strong).
Arky
I'm always annoyed when LSU fans don't treat this game the way it should be. It's always close, and before Saban came the only school I hated losing to almost as much as OM was Arkansas. I really did enjoy having them as a rivalry week team (though the Friday game baffled me). I hope they never win another game like OM. If the 07 loss had actually kept us out of the Natty, I think LSU fans would take it a little more seriously.
Bama
Saban is there. As long as he is there the fan base will see them as our biggest rival. When he leaves they'll be on UF/Auburn level. Buck Fama.
A&M
Talk to me in 5 years and we'll see. It's got potential.
Tulane
Football program died. I always look forward to playing them in Baseball, that's always a great time.