Tom Brady has played the most seasons by a quarterback with 3,000+ passing yards, with 19 seasons.

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most seasons with 3000 yards by a qb
Interpreted as:
most seasons with 3000 or more passing yards by a qb
BradyFavreBreesManningRiversRoethlisbergerManningMarinoRyanElwayRodgersStaffordWilsonPalmerBledsoeMoonCarrDaltonNewtonFlaccoHasselbeckMcNabbKelly19181616151414131212111099998888888
NAMEGPSEASYDSCMPATTPCTAVGYDS/GTDTD%INTINT%SCKSCKYRATE
Tom BradyTom Brady2951979,6826,81510,62864.17.5270.15935.61881.84943,15198.0
Brett FavreBrett Favre2871869,3296,0839,80762.07.1241.64975.13153.25023,33786.7
Drew BreesDrew Brees2521672,1086,3669,40067.77.7286.15085.42182.33722,62398.8
Peyton ManningPeyton Manning2561669,6915,9279,04965.57.7272.25305.92342.62871,85897.5
Philip RiversPhilip Rivers2401563,2925,2608,10464.97.8263.74205.22082.64612,81695.3
Ben RoethlisbergerBen Roethlisberger2051454,9914,6517,21364.57.6268.23625.01802.54613,08993.9
Eli ManningEli Manning2231454,9384,7097,77560.67.1246.43544.62303.03932,74384.8
Dan MarinoDan Marino2021352,6904,2787,17059.77.3260.83635.12173.02261,61186.7
Matt RyanMatt Ryan1911252,8514,6046,99265.87.6276.73254.61442.13912,61495.4
John ElwayJohn Elway1831242,1663,4025,93957.37.1230.42434.11702.94103,00281.1
Aaron RodgersAaron Rodgers1741146,7053,9036,00065.17.8268.43786.3761.34162,795104.4
Matthew StaffordMatthew Stafford1551043,1243,7195,86063.57.4278.22714.61272.23552,29192.0
Russell WilsonRussell Wilson144933,9462,8204,33565.17.8235.72676.2811.93942,572101.7
Carson PalmerCarson Palmer142936,2623,0994,92762.97.4255.42404.91392.82561,79189.6
Drew BledsoeDrew Bledsoe141934,7612,9655,13257.86.8246.51963.81533.03442,32278.8
Warren MoonWarren Moon139935,4922,9254,89659.77.2255.32014.11583.23132,31882.3
Derek CarrDerek Carr121830,3102,7464,24364.77.1250.51874.4801.92221,34492.6
Andy DaltonAndy Dalton122829,0282,5314,08462.07.1237.91834.51072.62571,58187.4
Cam NewtonCam Newton123828,4692,3213,89159.77.3231.51824.71072.72852,15686.4
Joe FlaccoJoe Flacco128830,0182,7444,45061.76.7234.51723.91062.42691,88184.5
Matt HasselbeckMatt Hasselbeck122827,3242,3833,86761.67.1224.01624.21092.82351,43985.1
Donovan McNabbDonovan McNabb120827,8592,3683,96859.77.0232.21714.3872.22981,89186.3
Jim KellyJim Kelly121827,0302,1833,63560.17.4223.41805.01363.72391,74384.0
Joe MontanaJoe Montana118828,5602,3823,72663.97.7242.01995.3932.52191,44294.7
Kirk CousinsKirk Cousins106728,3552,4883,66168.07.7267.51955.3681.92121,556101.0
StatMuse has season-level data for passing yards going back to the 1932 season.