Stanford, my grad school. I'm kind of shocked how low they are rated for these Big2 rumors. Since hiring Jim Harbaugh in 2007, they've been really strong in football, regularly beating Oregon and USC, often on the near edge of making the BCS playoffs, and having future NFL stars like Andrew Luck, Christian McCaffrey, Richard Sherman, and Zach Ertz. Stanford and Syracuse have never met in football oddly enough.
Also for some reason I seem to like watching WVU. Our games against them were generally the most competitive through the years, and they, like us, they had to battle it out with Penn State and Pitt. Don Nehlen and Coach Mac were good friends, and of course, Ben Schwartzwalder played there.
Usually when I watch a random game, I just pick up on which team I like the way they play or how they are coached, like NW today and definitely not Nebraska (after that 1983 game). I like GaTech the school, but am indifferent to their sports teams. I don't like VaTech or NC State or Oregon or Rutgers.