Drew Brees had the most games by a quarterback with 300+ passing yards, with 123 games.

qb with the most 300 yard passing games
Interpreted as:
qb with the most 300 or more yard passing regular-season games
BreesBradyManningRiversRyanRoethlisbergerRodgersMarinoFavrePalmerWarnerManningFoutsStaffordMoonRomoMontanaCousinsBledsoeElwayLuckFlaccoCollins12399937369666563625252515149494639373736333331
NAMEGPYDSCMPATTPCTAVGYDS/GTDTD%INTINT%SCKSCKYRATE
Drew BreesDrew Brees12343,9673,5855,12969.98.6357.53286.41082.11741,201108.6
Tom BradyTom Brady9934,9202,7714,07568.08.6352.72636.5591.41711,036109.9
Peyton ManningPeyton Manning9332,4082,5633,80267.48.5348.52386.3982.6116790103.9
Philip RiversPhilip Rivers7325,5251,9692,90867.78.8349.71625.6762.6132770102.8
Matt RyanMatt Ryan6923,8781,9992,89569.18.2346.11404.8481.71501,013103.2
Ben RoethlisbergerBen Roethlisberger6623,9371,8822,79667.38.6362.71555.5692.5144939102.0
Aaron RodgersAaron Rodgers6522,4611,7252,56467.38.8345.61847.2271.11611,097114.2
Dan MarinoDan Marino6322,4301,6532,67361.88.4356.01676.2853.27660996.2
Brett FavreBrett Favre6221,0891,6482,53665.08.3340.11495.9632.599701100.1
Carson PalmerCarson Palmer5218,0371,4022,18464.28.3346.91115.1552.512286996.4
Kurt WarnerKurt Warner5217,9581,3812,03867.88.8345.31135.5623.0120799101.1
Eli ManningEli Manning5118,1351,4152,19264.68.3355.61145.2683.18052894.8
Dan FoutsDan Fouts5117,8461,2542,02062.18.8349.91085.3793.992.2
Matthew StaffordMatthew Stafford4917,7701,3712,12264.68.4362.71205.7422.098687101.4
Warren MoonWarren Moon4917,2911,2832,07761.88.3352.91004.8703.410575890.3
Tony RomoTony Romo4615,5831,1851,77366.88.8338.81126.3482.786599104.2
Joe MontanaJoe Montana3913,8241,0601,56567.78.8354.51026.5442.873511105.3
Kirk CousinsKirk Cousins3712,7911,0311,44771.38.8345.7916.3251.767533112.1
Drew BledsoeDrew Bledsoe3712,8009951,59562.48.0345.9774.8483.08159791.1
John ElwayJohn Elway3612,1239091,45562.58.3336.8755.2362.58567595.7
Andrew LuckAndrew Luck3311,6339271,49761.97.8352.5875.8392.66641894.6
Joe FlaccoJoe Flacco3311,1329121,44263.27.7337.3654.5281.96242693.9
Kerry CollinsKerry Collins3110,2807771,31259.27.8331.6624.7382.96040887.8
Donovan McNabbDonovan McNabb3010,5557691,19464.48.8351.8726.0211.863399105.4
Trent GreenTrent Green3010,5007591,16565.29.0350.0665.7252.169389103.9
StatMuse has game-level data for passing yards going back to the 1950 season.

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