I lived in Virginia for 5 years as a teenager. UVA was the school I wanted to go to, until we moved prior to my junior year of high school. Over the years I haven't followed them closely, but I do cheer for them. Bronco going there has increased my interest because I'm a Bronco fan, but I've always cheered for them anyway.
The other two schools I cheer for are Air Force (because my dad and older brother went there) and Florida State (because a younger brother went there).
Other than that, there aren't any schools that I actively cheer for them to win every game they play (unless they're playing BYU, of course).