Unitas - Multiple Championships, Multiple MVP's, Retired with all Major Passing Records, and his preformance in the '58 and '59 Championship games lifted the profile of the NFL, ushering in weekly national television.
Manning - Multiple Championships, Multiple MVP's, Retired with all Major Passing Records.
Graham - Multiple Championships, Multiple MVP's. Icon of his era.
Brady - Multiple Championships, Multiple MVP's, Suspended for cheating.
Favre - One Championship, Multiple MVP's, Retired with all Major Passing Records.
Montana - Multiple Championships, Multiple Super Bowl MVP's.
Tarkenton - Retired with all Major Passing Records.
Marino - Retired with all Major Passing records.
Elway - Multiple Championships.
Brees - One Championship, a few Passing Records (so far)
Decide for yourself. I say Unitas.
Brees is under-rated by the media. And, he’s a genuine asset to the community. He and his wife put a lot of love and money back into the community for those in need. He’s humble, and doesn’t toot his own horn. But, his numbers put him squarely up there with the other greats. He broke records of those you listed. (Brees broke Unitas’ record for consecutive games with a touchdown pass in 2012). Championship rings don’t always define the quality of the individual player.
“NFL Records Drew Brees Currently Holds
1) Career completion percentage (67.1 percent)
2) Consecutive seasons with 4,500 passing yards (7, 2010-16)
3) Single-season passing yards per game (342.3 yards, 2011; tied with Peyton Manning in 2013)
4) Career completions (6,344)
5) Most seasons leading the NFL in passing yards (7)
6) Most career 400-yard passing games (16)
7) Most career 300-yard passing games (111)
8) Total completions in a season (471 in 2016)
9) Single-season completion percentage (72 percent in 2017)
10) Touchdown passes in a single game (tied for first with 7)
11) Consecutive games with a touchdown pass (54)
12) Consecutive games with 300 passing yards (9, twice)
13) Most 5,000-yard passing seasons (5)
14) Most seasons leading the league in passing (7)
15) Leading passer in NFL history (currently 72,103 passing yards)”
Edit: current completion % is over 70%