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I'm not quite sure he gets into the top 10 of head coaches.
Here is a ranking of all head coaches who have won a super bowl from only a year ago:
Ranking Super Bowl-winning coaches: Is Belichick best ever?
He's pretty much at the bottom (25th out of 31), and the only notable coach he's ahead of is John Harbaugh. The rest you'd expect at the very bottom due to having very limited success outside of their one Super Bowl.
I think you can start to argue him right around the 9 spot in that list, when he gets his second title. But my guess is most people would rank him around 15. If he stays long enough and can get near that 175-200 win mark (currently at 105), then I think he's in the top 10 safely and arguably top 8.
I expect Brees to play 4 more seasons and average 11 wins, so that effectively gets Payton to 150 wins.
I would agree with the top of that list but after the top ten it gets sketchy. Ditka had far less to do with the Bears winning it all than that city would have you believe. Buddy Ryan made it clear that Ditka wasn't even welcome in the defensive meetings and that D was where it was at.
most of the list after the top ten is highly debatable.