The Bulls have had such a different path than most college teams. Sure, West Virginia, UCF and Butgers come to mind first. We have shared conferences with Cincinnati the most of any team, but its hard to think of a time we played when the game was extraordinary, or meaningful.
The most memorable moments that almost created rivalrys were:
2007 vs West Virginia (we just dont play anymore)
Quinton Flowers senior season vs UCF. Both teams played for the division with amazing teams. (Still not very competitive most years, though its being pushed as a rivalry)
Then the fumble punt vs Rutgers.
In short, we have no rivals.