Roving franchises:
#1 The Indianapolis Colts - I'll never forget waking up that morning in Baltimore and hearing the Colts had left in the middle of the night. (Talks right before then had supposedly been making progress.)
#2 Baltimore Ravens - Ever since the Colts left I wanted to see them get a team, but not the Browns! But, they also got Art Model and his family. But, they still won a %&$**##* Super Bowl! (and yes I was living and working in Northeast Ohio when this happened.)
#3 Tennessee Titans - Yes, I hate the local team! If they had been an expansion franchise, I'd probably root for them some.
There are many other teams that have moved in the last 30 years, but those are the ones on the top of my list.
Colleges:
1) Tennessee - I used to like the song Rocky Top before moving down here. Though Pat Summit's Lady Vols basketball dynasty is the exception.
2) Ohio State and Michigan - I hated hearing about them every fall I lived in Ohio. Of course, it's even easier to dislike them now since Penn State joined the Big Ten.
General dislike:
Any New York team (especially the Yankees)
Any Pittsburgh team
The Dallas Cowboys (the cheerleaders are okay though

)
Chicago Bulls (leftover from Jordan era)
Boston Celtics, LA Lakers
Atlanta Braves (they get a partial pass for being Hank Aaron's team, though)
Any team from the state of North Carolina except Duke (my dad went there)
Seattle teams (don't know why, just don't like them)
The Oakland Raiders used to be on my list, but they redeemed themselves when they returned home to Oakland after their stint in LA. I still remember hearing a young Cleveland sportscaster say about the announcement, "Oakland Raiders, that sounds strange." I wanted to hurl something at the TV just then!