Tom Brady has the most games by a quarterback with 3+ passing touchdowns, with 106 games.

which qb has the most 3 td games including postseason
Interpreted as:
Which qb has the most 3 or more passing td games including postseason?
BradyBreesManningRodgersFavreMarinoRiversRoethlisbergerManningRyanMontanaStaffordTarkentonWilsonRomoWarnerFoutsUnitasYoungDawsonPalmerElwayBlanda106102998378676457514949434240403939393838363635
NAMEGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Tom BradyTom Brady1063642,6873,92668.433,6908.6317.89.3531.3152917120.2
Drew BreesDrew Brees1023582,7583,91670.433,7218.6330.69.1591.5134910120.8
Peyton ManningPeyton Manning993482,4433,50269.830,7938.8311.09.9692.089580121.8
Aaron RodgersAaron Rodgers832882,0022,91868.625,1248.6302.79.9260.91791,178124.3
Brett FavreBrett Favre782631,7672,69365.621,5078.0275.79.8532.0110667114.4
Dan MarinoDan Marino672301,5592,52761.721,0048.3313.59.1803.268497105.3
Philip RiversPhilip Rivers642011,5022,21068.019,0618.6297.89.1502.395555115.5
Ben RoethlisbergerBen Roethlisberger571981,4512,13168.118,0938.5317.49.3351.6104687118.3
Eli ManningEli Manning511701,2041,81666.314,9738.2293.69.4482.672496111.9
Matt RyanMatt Ryan491611,2351,77169.715,2888.6312.09.1291.682526119.6
Joe MontanaJoe Montana491621,0991,64366.914,9929.1306.09.9412.5118.3
Matthew StaffordMatthew Stafford431451,0921,69164.613,7248.1319.28.6362.190566109.4
Fran TarkentonFran Tarkenton421397021,17559.710,4538.9248.911.8423.6113.5
Russell WilsonRussell Wilson401408551,24568.711,0698.9276.711.2181.492649127.8
Tony RomoTony Romo401328971,30668.711,9449.1298.610.1251.959378123.1
Kurt WarnerKurt Warner391329331,33569.912,4869.4320.29.9382.868413120.4
Dan FoutsDan Fouts391339271,47662.812,5998.5323.19.0453.0107.3
Johnny UnitasJohnny Unitas391346761,10661.110,7479.7275.612.1423.8117.3
Steve YoungSteve Young381267941,18267.210,9629.3288.510.7272.366325122.7
Len DawsonLen Dawson3812751786260.08,76210.2230.614.7354.1117.1
Carson PalmerCarson Palmer361208431,24367.810,5288.5292.49.7393.164444113.0
John ElwayJohn Elway361197471,19762.410,0068.4277.99.9292.448387112.0
George BlandaGeorge Blanda351255961,16851.09,6968.3277.010.7645.592.0
Boomer EsiasonBoomer Esiason341117201,14862.710,1408.8298.29.7312.762502112.1
Sonny JurgensenSonny Jurgensen341176571,09260.210,1769.3299.310.7454.1109.6
StatMuse has game-level data for passing touchdowns going back to the 1950 season.

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