Wasn't actually a loss but: Alabama and Tennessee were tied 7-7 in 1965. Clock running down, Bama driving. Stabler got us down to around the four yard line with a few seconds left and quickly threw the ball out of bounds to stop the clock and set up a David Ray chip shot to win the game. However, in the mad scramble during the last drive, Snake forgot which down it was, threw the ball out of bounds on 4th down (thinking it was 3rd down), and TN took over the ball. I still think about that tie and how it sure felt like a horrible loss.
( IIRC that might have been the game CPB had an officer shoot the lock off of the locker room door which was still locked as the team arrived)