Brady is the greatest of all-time and rightfully so, due to otherworldly accomplishments, particularly in winning statistics and has a series of historic heroic Super Bowls. Individual stats, he is no slouch either and is easily top-3 on a per game basis, even factoring for the era. His decision making is simply amazing. Simply put, he wins more than anyone else on any stage, and he has made statisticians who don't believe in "clutch" play rethink their beliefs.
That said, Aaron Rodgers plays the quarterback position right now better than anyone in NFL history. And if you don't think he can't read a defense and is all athleticism, you are a blind homer. You don't get a 1.6% career interception rate and 4:1 TD ratio by merely having athletic talent.
I hope Rodgers wins one or two more SBs because he should be ranked higher all-time than Manning and maybe even Montana. He hasn't exactly curled up into a fetal position in their playoff losses ala Manning, besides that one game against Seattle in the 2014 NFCCF. The more research I do on Montana and the 80s Niners, the less I think he is the clear number 2. I won't get into it all right now, but he basically played on all-pro teams, always had a top-3 defense, and backups came in and dominated in the same fashion when he was injured. Go check out profootballl reference and check out the stats of journeymen QBs when they played 3-4 games during a Montana injury...you'll be shocked. That - and those three consecutive elimination games in the prime of his career when he failed to produce even one touchdown. Meanwhile his 4-0 SB record happened to be in the midst of something like 15 straight NFC wins...in context, not so immortal.