18 quarterbacks are tied for the highest passer rating by a quarterback in a game with 20+ passing attempts, with a 158.3 rating. The first three are Tom Brady on December 26, on November 25, 2010 and on October 21, 2007, Aaron Rodgers on October 20, 2019 and Deshaun Watson on October 6, 2019.

which qb has the best passer rating in a game with 20 att
Interpreted as:
Which qb has the best passer rating in a regular-season game with 20 or more passing att?
12/26/2020Brady10/20/2019Rodgers10/6/2019Watson9/8/2019Jackson9/8/2019Prescott11/8/2018Roethlisberger9/27/2018Goff11/15/2015Cousins12/28/2014Smith12/15/2013Smith11/3/2013Foles11/25/2010Brady11/30/2009Brees9/14/2008Warner12/20/2007Roethlisberger10/21/2007Brady9/23/2007McNabb12/14/2003Green9/28/2003Manning12/22/2002Collins11/10/2002Manning12/23/2000Flutie10/22/2000Manning158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3158.3
NAMEDATETMOPPRATEATTCMPPCTYDSAVGTDTD%INTINT%SCKSCKY
Tom BradyTom Brady12/26/2020TBTB@DETDET158.3272281.534812.9414.800.017
Aaron RodgersAaron Rodgers10/20/2019GBGBvsOAKOAK158.3312580.642913.8516.100.018
Deshaun WatsonDeshaun Watson10/6/2019HOUHOUvsATLATL158.3332884.842612.9515.200.000
Lamar JacksonLamar Jackson9/8/2019BALBAL@MIAMIA158.3201785.032416.2525.000.011
Dak PrescottDak Prescott9/8/2019DALDALvsNYGNYG158.3322578.140512.7412.500.000
Ben RoethlisbergerBen Roethlisberger11/8/2018PITPITvsCARCAR158.3252288.032813.1520.000.016
Jared GoffJared Goff9/27/2018LARLARvsMINMIN158.3332678.846514.1515.200.019
Kirk CousinsKirk Cousins11/15/2015WASWASvsNONO158.3252080.032413.0416.000.0323
Geno SmithGeno Smith12/28/2014NYJNYJ@MIAMIA158.3252080.035814.3312.000.016
Alex SmithAlex Smith12/15/2013KCKC@OAKOAK158.3201785.028714.4525.000.0212
Nick FolesNick Foles11/3/2013PHIPHI@OAKOAK158.3282278.640614.5725.000.011
Tom BradyTom Brady11/25/2010NENE@DETDET158.3272177.834112.6414.800.013
Drew BreesDrew Brees11/30/2009NONOvsNENE158.3231878.337116.1521.700.014
Kurt WarnerKurt Warner9/14/2008ARIARIvsMIAMIA158.3241979.236115.0312.500.0212
Ben RoethlisbergerBen Roethlisberger12/20/2007PITPIT@STLSTL158.3201680.026113.1315.000.0434
Tom BradyTom Brady10/21/2007NENE@MIAMIA158.3252184.035414.2624.000.0110
Donovan McNabbDonovan McNabb9/23/2007PHIPHIvsDETDET158.3262180.838114.7415.400.015
Trent GreenTrent Green12/14/2003KCKCvsDETDET158.3252080.034113.6312.000.000
Peyton ManningPeyton Manning9/28/2003INDIND@NONO158.3252080.031412.6624.000.019
Kerry CollinsKerry Collins12/22/2002NYGNYG@INDIND158.3292379.336612.6413.800.000
Peyton ManningPeyton Manning11/10/2002INDIND@PHIPHI158.3231878.331913.9313.000.000
Doug FlutieDoug Flutie12/23/2000BUFBUF@SEASEA158.3252080.036614.6312.000.000
Peyton ManningPeyton Manning10/22/2000INDINDvsNENE158.3201680.026813.4315.000.000
Kurt WarnerKurt Warner10/1/2000STLSTLvsSDSD158.3302480.039013.0413.300.0214
Kurt WarnerKurt Warner10/3/1999STLSTL@CINCIN158.3211781.031014.8314.300.0211
Results may be incomplete. StatMuse has complete game-level data for passer rating and passing attempts going back to the 1950 season.