Before I get to the coolest moment of the game, I'll name the honorable mention: Brady/Branch right before the half. It was pure improvisation between two players that trust each other and have great rapport (Belichick said it was a "great play called by two great players")
But the coolest moment, by far, was seeing everyone on the field goal unit helping Graham clear out a path for field goals. Even Graham was appreciative: http://espn.go.com/blog/boston/new-england-patriots/post/_/id/4689519/graham-gets-a-kick-out-of-elements. I've honestly never seen anything like that before. I cannot stress how much I enjoy watching Patriots football, win or lose, just because of the team-oriented style and lack of "the individual."