Here are a few:
2016 Florida
2007 Georgia
2016 Georgia
2003 @ Miami
Sad thing is, I have far MORE surprising losses (games I thought we should have won) versus surprising wins. UT seemed to pull more upsets in the past such as the 1980s.
One of my greatest frustration as a Tennessee fan is that we really do not pull off a lot of upsets. You would think with as many times we play schools like Alabama or Florida, we would be able to surprise them at least once and beat them. The only time we ever seem to beat them is when we have a far better team. (Heck we have often had better teams than Florida and still lose to them).