My favorite was against the Texans about ten years ago. Very late in the 4th (under 2 mins), Pats* down by 7 and Brady heaves a long ball into the end zone from midfield which is picked off to seemingly end the game. In fact, the announcers are talking game over when all of a sudden, about 20 seconds after the play, way upfield a hanky appears. They call something way away from the play that the announcers didn't understand or have film on. Pats* go on to score on that drive and win in OT, if my memory is correct.
That was at about the beginning of my personal suspicion about that team, which has been repeatedly borne out since.