LSU-Tulane (though dominated by LSU)
Rice-Houston (though playing again - same town)
Maryland-Navy (same state - really close)
South Carolina-North Carolina (neighbor states)
South Carolina-NC State (ended with even record)
South Carolina-Georgia Tech
Georgia Tech-Tennessee (was long term rivalry)
Mississippi State-Southern Miss
Ole Miss-Southern Miss
Princeton-Rutgers (the oldest on record)
Notre Dame-Indiana (same state)
Ohio State-Cincinatti (did play last yr. - close)
Arkansas State-Arkansas (needs to get started)
Arkansas-Oklahoma or Oklahoma State
Penn State - all their old eastern rivals
The Georgia Bulldogs have a lot of intense rivals: Ga Tech, So. Car., Fla., Alabama, Clemson, Tennessee, Auburn, etc.
DNC, GT-Auburn was definitely a long term rivalry. While GT-Alabama was ended due to a heated dispute, Auburn continued to play GT until a few years before FSU joined.
ND-Indiana was never a big series, because IU dropped a lot of the games. Maybe that has changed since they last played but I doubt it.
PSU had heated rivalries with Pittsburgh(in-state rivalry that needs to return, not PSU-Temple), Syracuse, and ND. PSU also had a rivalry with Alabama that was very similar to OU-Nebraska. I'd like to see PSU-Alabama come back for sure.