Tom Brady has the most games with 2+ passing touchdowns, with 186 games.

player with most games with two or more passing touchdowns
Interpreted as:
player with most regular-season games with two or more passing touchdowns
BradyBreesManningFavreRiversRodgersMarinoRoethlisbergerRyanManningTarkentonPalmerElwayMontanaUnitasStaffordMoonWilsonRomoJurgensenEsiasonKriegTestaverde186173165159142127127119108107101959089888786837979787775
NAMEGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Tom BradyTom Brady1865074,4576,74066.153,9458.0290.07.51071.62831,763109.0
Drew BreesDrew Brees1734944,5656,55669.653,6528.2310.17.51241.92361,689111.4
Peyton ManningPeyton Manning1654714,0256,02266.848,2918.0292.77.81412.31631,100107.5
Brett FavreBrett Favre1594183,5725,48065.242,8967.8269.87.61332.42701,728104.3
Philip RiversPhilip Rivers1423543,2334,85866.640,7318.4286.87.31222.52641,552106.3
Aaron RodgersAaron Rodgers1273662,9934,49966.537,1208.3292.38.1581.32721,798113.6
Dan MarinoDan Marino1273442,8264,59761.536,7208.0289.17.51363.012790399.2
Ben RoethlisbergerBen Roethlisberger1193162,7464,12466.633,6228.2282.57.7832.02101,412108.7
Matt RyanMatt Ryan1082742,7003,97168.031,3297.9290.16.9751.91971,292106.7
Eli ManningEli Manning1072802,4063,78663.529,2997.7273.87.4992.61531,035101.0
Fran TarkentonFran Tarkenton1012561,6602,78959.523,1628.3229.39.2873.1103.9
Carson PalmerCarson Palmer952372,2063,40364.826,7937.9282.07.0962.81681,150100.4
John ElwayJohn Elway902241,8193,01460.423,8107.9264.67.4752.51761,34799.7
Joe MontanaJoe Montana892301,9142,92265.524,5978.4276.47.9762.6107.1
Johnny UnitasJohnny Unitas882321,4382,50357.522,3868.9254.49.31084.3100.1
Matthew StaffordMatthew Stafford872322,1393,32664.325,9927.8298.87.0641.91991,262103.5
Warren MoonWarren Moon862121,8643,04861.223,8947.8277.87.0923.01631,20096.3
Russell WilsonRussell Wilson832241,7222,55967.321,3608.3257.38.8351.41971,339116.4
Tony RomoTony Romo792101,7812,64867.322,5398.5285.37.9602.3136899110.6
Sonny JurgensenSonny Jurgensen792071,3772,32259.319,5808.4247.88.9964.199.1
Boomer EsiasonBoomer Esiason781991,4962,46560.720,7428.4265.98.1833.41311,061100.6
Dave KriegDave Krieg771961,4632,29663.718,9808.3246.58.5642.81911,456106.5
Vinny TestaverdeVinny Testaverde751801,4992,49560.119,4287.8259.07.2963.813294492.6
John HadlJohn Hadl741791,0401,94253.616,6298.6224.79.2884.594.2
Jay CutlerJay Cutler721721,5842,43964.918,8997.7262.57.1692.8133802100.2
StatMuse has game-level data for passing touchdowns going back to the 1950 season.

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