Between the 1985 and 2004 seasons, 4 players were tied for the most games by a quarterback with 1+ passing touchdown in a season, with 16 games. The first three are Daunte Culpepper in 2004, Brett Favre in 2003 and Kurt Warner in 1999.

what is the most 1 passing touchdown games by an nfl quarterback in a season since 1985 but before 2005
Interpreted as:
What is the most 1 or more passing touchdown games by an NFL quarterback in a season since 1985 but before 2005?
2004Culpepper2003Favre1999Warner1986Marino2004Favre2004Brooks2004Brady2004Manning2002Favre2002Manning2001Griese2001Favre2001Garcia2001Warner2000Culpepper2000Manning1998Manning1998Young1997Favre1996Favre1995Blake1995Favre1995Mitchell1616161615151515151515151515151515151515151515
NAMESEASONTMGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Daunte CulpepperDaunte Culpepper2004MINMIN163937954869.24,7178.6294.87.1112.046238110.9
Brett FavreBrett Favre2003GBGB163230847165.43,3617.1210.16.8214.51913790.4
Kurt WarnerKurt Warner1999STLSTL164132549965.14,3538.7272.18.2132.629201109.2
Dan MarinoDan Marino1986MIAMIA164437862360.74,7467.6296.67.1233.71711992.5
Brett FavreBrett Favre2004GBGB153033251165.03,9577.7263.85.9152.997495.8
Aaron BrooksAaron Brooks2004NONO152128550256.83,5687.1237.94.2163.24021979.7
Tom BradyTom Brady2004NENE152827344461.53,5207.9234.76.3143.22516094.2
Peyton ManningPeyton Manning2004INDIND154933549567.74,5519.2303.49.9102.013101121.4
Brett FavreBrett Favre2002GBGB152733053761.53,5696.6237.95.0163.02517685.3
Peyton ManningPeyton Manning2002INDIND152736554766.73,9717.3264.74.9183.32113290.7
Brian GrieseBrian Griese2001DENDEN152327545161.02,8276.3188.55.1194.23824178.5
Brett FavreBrett Favre2001GBGB153229648161.53,7527.8250.16.7153.12013995.0
Jeff GarciaJeff Garcia2001SFSF153230346864.73,3927.2226.16.8102.125112100.1
Kurt WarnerKurt Warner2001STLSTL153634750069.44,5149.0300.97.2214.232191104.0
Daunte CulpepperDaunte Culpepper2000MINMIN153328445163.03,7478.3249.87.3153.33317999.7
Peyton ManningPeyton Manning2000INDIND153334454762.94,2817.8285.46.0152.71811595.8
Peyton ManningPeyton Manning1998INDIND152630653157.63,5466.7236.44.9264.92110673.9
Steve YoungSteve Young1998SFSF153632251762.34,1708.1278.07.0122.348234101.1
Brett FavreBrett Favre1997GBGB153528547260.43,5887.6239.27.4153.22417095.6
Brett FavreBrett Favre1996GBGB153930651259.83,7217.3248.17.6122.33823297.8
Jeff BlakeJeff Blake1995CINCIN152830452158.33,5656.8237.75.4163.12214284.3
Brett FavreBrett Favre1995GBGB153834254063.34,2367.8282.47.0112.029181102.5
Scott MitchellScott Mitchell1995DETDET153233757159.04,2157.4281.05.6111.93114592.7
Warren MoonWarren Moon1995MINMIN153334956461.93,9767.0265.15.9142.53425292.2
Steve YoungSteve Young1994SFSF153531343871.53,8708.8258.08.081.830159117.5
StatMuse has game-level data for passing touchdowns going back to the 1950 season.

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