Kurt Warner had the most games for the St. Louis Rams with 3+ passing touchdowns, with 21 games.

rams player with most games with three or more passing touchdowns
Interpreted as:
rams player with most regular-season games with three or more passing touchdowns
WarnerEverettGabrielGoffBulgerVan BrocklinFerragamoBradfordWadeBanksHarrisHadlDavisFrerotteGreenKeenumFolesFitzpatrickMartinBonoMillerDilsBrock21161514111196633322211111111
NAMEGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Kurt WarnerKurt Warner217048568071.36,87810.1327.510.3202.942254125.7
Jim EverettJim Everett165533550766.14,4188.7276.110.8102.024155121.4
Roman GabrielRoman Gabriel155022538758.13,4448.9229.612.992.3117.5
Jared GoffJared Goff144833949967.94,5529.1325.19.651.021163124.6
Marc BulgerMarc Bulger113527542165.33,5938.5326.68.3122.926186107.9
Norm Van BrocklinNorm Van Brocklin114017126165.53,23012.4293.615.3103.8131.9
Vince FerragamoVince Ferragamo93417927265.82,6689.8296.412.5103.7122.1
Sam BradfordSam Bradford61814623262.91,6867.3281.07.831.31055105.3
Billy WadeBilly Wade6198412965.11,28710.0214.514.732.3127.8
Tony BanksTony Banks39437458.175710.2252.312.234.11075115.8
James HarrisJames Harris39335955.964010.8213.315.300.0133.5
John HadlJohn Hadl310346056.767411.2224.716.723.3121.8
Austin DavisAustin Davis26599164.87027.7351.06.622.2434101.1
Gus FrerotteGus Frerotte26477860.35737.3286.57.756.431781.8
Trent GreenTrent Green27426663.64777.2238.510.623.0430108.0
Case KeenumCase Keenum13273284.432110.0321.09.413.1110126.7
Nick FolesNick Foles13162466.71717.1171.012.500.017126.9
Ryan FitzpatrickRyan Fitzpatrick13193063.331010.3310.010.013.3522117.4
Jamie MartinJamie Martin13223562.92457.0245.08.625.71888.4
Steve BonoSteve Bono13153050.02408.0240.010.013.311596.5
Chris MillerChris Miller13213167.72317.5231.09.700.019121.8
Steve DilsSteve Dils13152657.71646.3164.011.500.000114.9
Dieter BrockDieter Brock14132065.021610.8216.020.000.011140.8
Jeff KempJeff Kemp1381942.11427.5142.015.800.014107.9
Pat HadenPat Haden13122548.01767.0176.012.028.077.7
StatMuse has game-level data for passing touchdowns going back to the 1950 season.

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