Winners:
2014 - This might seem like a Hot Take, but we forget how uniformly good this team was, how absolutely locked in Brady was after the first 4 games, and how good the Seahawks team they beat was - they absolutely CLOWNED ON the "best offense in history" Broncos the year before, and the Pats hung in to steal their soul at the last second, which broke the back of that would-be dynasty.
2004 - This team wasn't flashy, but was an absolute mincing machine. Different era that can seem dull now, but on their Super Bowl run they held the best offense in league history to 3, and then hung 41 on the best defense in the league. 2004 was when Brady leveled up and Belichick was absolutely peak.
2016 - Brady's arm was fractionally softer, but from the neck up he was on his own plane of existence, and this team was maybe the most well-oiled machine top to bottom since, well, 2004. Then the wheels fell off in the Super Bowl...until they didn't, heh.
2003 - Very skewed toward defense, and Brady wasn't in his final form yet, but they won 15 straight games and then Brady suddenly went HAM in the Super Bowl.
2018 - The last hurrah, thin on talent and Brady (seemingly, heh) running on fumes, but I give it the edge over 2001 because of just the experience level and how they just choked out the uber-offense of the Rams so utterly. Belichick's final "I'm smarter than everyone in the league" coaching performance.
2001 - Sentimentally this is #1, but they we not good for like the first 2/3ish of the year and the entire playoff run was a series of squeakers that could have gone the other way. But of course they didn't!
Losers:
2007 - Duh. That being said, you could see their dominance taper off down the stretch.
2011 & 2017 - Push, both teams were stellar offenses with ATROCIOUS defenses. Equal disappoint.
1996 - This still feels like the best non-Brady team, which is admittedly a low bar. Bledsoe was a Pro Bowler that year, and they at least scored >1 touchdown on offense.
2025 - This was a good team, let's not get it twisted, but they had the easiest SoS *in team history* and were just flatly outclassed in the Super Bowl on a basic talent level, especially OL. Maye made a big leap from his rookie year, but was no Brady (which is an insanely unfair comparison, of course)
1985 - Out of the top 5 in points for and points against, quarterbacks were ehhhhhhhhhhhh, and wildly outclassed in the big game.