1998 Florida
1998 Florida State
2001 Florida
1995 and 1996 Alabama
2003 Miami
2004 Georgia
2007 Georgia
I think those were Fulmer's best victories. His worse defeats:
1997 Florida
1999 Arkansas
2001 LSU (SEC CG)
2002 Florida (entire 2002 season was a major let down)
2005 Season (Just listing entire season here)
2008 UCLA (the UCLA loss started the spiral of Tennessee Football IMO)
I don't cite to 2008 Wyoming due to circumstances around that game being a causation for the loss.
By the way, UCLA has a reputation for handed defeats on teams in their stadium that sink their program. They did it with Alabama, Michigan, and Texas (and us). These programs all lost at UCLA and started a major collapse after it.