Tom Brady has the most career passing touchdowns by a quarterback 40 or older, with 140 touchdowns.

most career passing tds scored since turning 40 among qbs
Interpreted as:
most career passing tds scored since turning 40 years old among qbs
BradyBreesMoonFavreTestaverdeJurgensenFlutieHasselbeckConerlyEvansMorrallDawsonDeBergUnitasBrunellJohnsonBratkowskiBlanda14051373624111097665332222
NAMEGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Tom BradyTom Brady691401,6832,59964.819,3897.5281.05.4411.611373798.5
Drew BreesDrew Brees235155676872.45,9217.7257.46.6101.325178111.2
Warren MoonWarren Moon283747482357.65,5386.7197.84.5253.05737880.4
Brett FavreBrett Favre253649576464.85,8747.7235.04.7253.34732790.2
Vinny TestaverdeVinny Testaverde322445377658.45,2906.8165.33.1324.15533072.3
Sonny JurgensenSonny Jurgensen141110716764.11,1857.184.66.653.094.5
Doug FlutieDoug Flutie151011922652.71,4666.597.74.441.8104780.4
Matt HasselbeckMatt Hasselbeck8915625660.91,6906.6211.33.552.01610184.0
Charlie ConerlyCharlie Conerly87358541.25596.669.98.267.161.8
Vince EvansVince Evans9610017557.11,2367.1137.33.484.6117071.5
Earl MorrallEarl Morrall416539655.27227.517.66.366.374.2
Len DawsonLen Dawson1259314066.41,0957.891.33.642.990.0
Steve DeBergSteve DeBerg83305950.83696.346.15.111.766080.4
Johnny UnitasJohnny Unitas53347644.74716.294.23.979.240.0
Mark BrunellMark Brunell18281650.01449.08.012.516.31794.8
Brad JohnsonBrad Johnson152417852.64275.528.52.656.485450.5
Zeke BratkowskiZeke Bratkowski3251241.71068.835.316.7325.073.6
George BlandaGeorge Blanda132123138.71745.613.46.539.739.7
StatMuse has game-level data for passing touchdowns going back to the 1950 season.

Try also: