Drew Brees has the most games with 4+ passing touchdowns and exactly 0 intercepted passes, with 26 games.

most games with 4 td passes and 0 int
Interpreted as:
most regular-season games by a player with 4 or more td passes and 0 passing int
BreesBradyRodgersManningRoethlisbergerFavreWilsonRyanMcNabbBledsoeMahomesLuckGarciaYoungMarinoUnitasGoffWatsonDaltonRomoManningWarnerJohnson262524181212108887776665555555
NAMEGPTDINTCMPATTPCTYDSAVGYDS/GTD%INT%SCKSCKYRATE
Drew BreesDrew Brees26112069091075.88,8649.7340.912.30.027170145.4
Tom BradyTom Brady25108061784872.88,1769.6327.012.70.040239142.5
Aaron RodgersAaron Rodgers24103057178672.67,2979.3304.013.10.041272140.9
Peyton ManningPeyton Manning1881045561474.15,8359.5324.213.20.01596143.0
Ben RoethlisbergerBen Roethlisberger1255031444870.13,9878.9332.312.30.01696137.2
Brett FavreBrett Favre1249027139468.83,4208.7285.012.40.017110135.2
Russell WilsonRussell Wilson1044024435169.53,0898.8308.912.50.025169136.3
Matt RyanMatt Ryan833020928772.82,6489.2331.011.50.01591139.5
Donovan McNabbDonovan McNabb834018726470.82,76310.5345.412.90.018120144.3
Drew BledsoeDrew Bledsoe832017326565.32,3298.8291.112.10.01490132.7
Patrick MahomesPatrick Mahomes731018326668.82,4939.4356.111.70.0622137.3
Andrew LuckAndrew Luck728019529167.02,3338.0333.39.60.01065123.4
Jeff GarciaJeff Garcia728014322065.01,8698.5267.012.70.0736131.2
Steve YoungSteve Young624011816173.31,5149.4252.314.90.0316141.9
Dan MarinoDan Marino626014922067.71,8518.4308.511.80.0431133.0
Johnny UnitasJohnny Unitas62409414763.91,73711.8289.516.30.0144.2
Jared GoffJared Goff521010816864.31,68910.1337.812.50.0758137.1
Deshaun WatsonDeshaun Watson523010514671.91,57910.8315.815.80.0739146.7
Andy DaltonAndy Dalton520013019666.31,5097.7301.810.20.0965123.4
Tony RomoTony Romo521010514970.51,53610.3307.214.10.0954143.3
Eli ManningEli Manning523010515169.51,4459.6289.015.20.0858139.5
Kurt WarnerKurt Warner521011014874.31,65911.2331.814.20.01067150.3
Brad JohnsonBrad Johnson521010815171.51,4329.5286.413.90.0540140.8
Rich GannonRich Gannon521011815874.71,4259.0285.013.30.0850141.5
Warren MoonWarren Moon521011216368.71,4599.0291.812.90.016108136.2
StatMuse has game-level data for intercepted passes and passing touchdowns going back to the 1950 season.

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