There are so many to choose from.
Buffalo - The game that really sticks out to me is the one that may have kick-started the 1st SB run. It was one of the hardest hitting games I can remember and the key play came when David Patten decided to take on a hit and got knocked out along the sideline and fumbled. The Bills recovered, thinking the game was theirs, but the ball had grazed the leg of Patten and ended up being the Pats ball instead. The Pats went on to win a close one.
I also enjoyed the last game in 2003 vs the Bills when the Pats reversed the 31-0 loss from game 1. That was kind of eerie.
Rams - Of course the Silence of the Rams SB I was historic and a great Rams memory, as was Silence of the Rams II, but the loss to them in 2001 at Foxboro was the one that gave me hope. That was a tight game and one that was lost on a fumble down at the goal line. It was also the last loss of the year. I have a pretty vivid memory of an argument I had after the last regular season game. I thought that the Pats had a chance but the thought at the time from even our own fans was that yeah, they could make it to the SB but there's no way they're beating the Rams.
NJ - I don't know how we can top the Thanksgiving game in 2012 when the Pats changed the meaning of the term a New York Minute. It became 55 seconds.
Carolina - I know what you're thinking. WTF is this team doing here? But this one is special because it was the last game of the year for the Pats in 2001 and it was in Carolina. I convinced my non sports fans son to go to the game on the way to drop him off at school. It was a great time as thousands of Pats fans owned the nearly empty stadium and we even did the Jets chant as we were watching the NJ-Oakland score. After the game was over the roar got louder and louder as Pats fans came down into the concourse and didn't want to leave.
Pitt - Boy did the Pats have their number, even when Pitt was good. Of course the 2001 playoff game was great but my personal favorite was the 2016 playoff game, once again attended with my non sports fan son. Every time I see a Steelers game and their fans spinning their yellow towels it reminds me of sitting in Foxboro for that game and watching what I thought was an unusually high number of opposing fans. As the game went on the towels became slower, and slower and slower until they stopped. It reminded me of ceiling fans being shut off and slowly coming to a stop.
KC - I remember back in 2002 or 2005 the Pats played the Chiefs in Foxboro in an early season game. Both teams were going through the other like a hot knife through warm butter and KC had the ball at the end down 7. They scored a TD to get within one and I sat there praying that they wouldn't go for 2 and the win. Instead they tied it and the Pats won the toss and the game in OT.
Nothing can top the AFCCG in KC in 2018 though. I could go on for hours on that game.
I'll be back.