Tom Brady has the most career passing yards by a quarterback older than 40, with 18,361 yards.

most passing yards after age 40
Interpreted as:
most passing yards by a player after age 40
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BradyTestaverdeBreesMoonFavreBlandaFlutieMorrallDeBergBrunell18.4k3.2k2.9k2.7k1.9k1.5k1.4k42136927
NAMEGPYDSCMPATTPCTAVGYDS/GTDTD%INTINT%SCKSCKYRATE
Tom BradyTom Brady6518,3611,6342,51265.07.3282.51365.4431.79161997.7
Vinny TestaverdeVinny Testaverde243,23928951356.36.3135.0152.9224.34124567.2
Drew BreesDrew Brees122,94227539070.57.5245.2246.261.51389106.4
Warren MoonWarren Moon172,72023341456.36.6160.0204.8122.94126380.4
Brett FavreBrett Favre101,91215726160.27.3191.293.4135.0169773.5
George BlandaGeorge Blanda1111,51610319552.87.813.72010.3157.780.6
Doug FlutieDoug Flutie141,40211621554.06.5100.1104.741.9104782.0
Earl MorrallEarl Morrall27421366952.26.115.645.834.372.2
Steve DeBergSteve DeBerg8369305950.86.346.135.111.766080.4
Mark BrunellMark Brunell15271333.39.01.800.000.00067.4
StatMuse has game-level data for passing yards going back to the 1950 season.