The Green Bay Packers and the New England Patriots are tied for the most games with 3+ passing touchdowns in a season, with 12 games.

which nfl an has the most 3 td passing games in a season
Interpreted as:
Which NFL an has the most 3 or more td passing games in a season?
2020Packers2007Patriots2013Broncos2012Saints2011Packers1984Dolphins1961Oilers2018Chiefs1999Rams199849ers198749ers2018Colts2012Broncos2011Saints2004Colts1986Dolphins1963Giants2020Vikings2019Saints2019Ravens2016Packers2016Patriots2016Steelers1212111111111110101010999999888888
TEAMSEASONGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Green Bay PackersGreen Bay Packers2020124329439873.93,4318.6285.910.820.5972133.5
New England PatriotsNew England Patriots2007124530542571.83,7268.8310.510.671.61373126.8
Denver BroncosDenver Broncos2013114633347370.44,2088.9382.59.771.51798124.1
New Orleans SaintsNew Orleans Saints2012113729546064.13,7158.1337.78.092.020153107.8
Green Bay PackersGreen Bay Packers2011114227538371.83,6349.5330.411.071.826138130.4
Miami DolphinsMiami Dolphins1984114026540166.13,6549.1332.210.0133.211101114.9
Houston OilersHouston Oilers1961114320339950.93,7279.3338.810.8235.8810695.3
Kansas City ChiefsKansas City Chiefs2018104123935866.83,3309.3333.011.582.21481125.3
St. Louis RamsSt. Louis Rams1999103223535167.03,1068.8310.69.1123.424162110.9
San Francisco 49ersSan Francisco 49ers1998103121634363.03,0288.8302.89.0123.528119106.9
San Francisco 49ersSan Francisco 49ers1987103522634665.32,7718.0277.110.192.620145112.8
Indianapolis ColtsIndianapolis Colts201893024035268.22,7377.8304.18.592.6754109.1
Denver BroncosDenver Broncos201292724133472.22,7478.2305.28.161.8530115.9
New Orleans SaintsNew Orleans Saints201193525735871.83,2269.0358.49.851.41161126.2
Indianapolis ColtsIndianapolis Colts200493820329967.92,8989.7322.012.772.3539128.9
Miami DolphinsMiami Dolphins198693623837264.02,9167.8324.09.792.41277110.2
New York GiantsNew York Giants196393215727058.12,5189.3279.811.9114.114130111.9
Minnesota VikingsMinnesota Vikings202082419228268.12,4368.6304.58.562.117125114.3
New Orleans SaintsNew Orleans Saints201982822629576.62,4798.4309.99.531.0747128.3
Baltimore RavensBaltimore Ravens201983215221271.71,9079.0238.415.141.91145131.0
Green Bay PackersGreen Bay Packers201682820830867.52,3277.6290.99.120.618131117.4
New England PatriotsNew England Patriots201682619528568.42,6039.1325.49.110.41494126.1
Pittsburgh SteelersPittsburgh Steelers201682720128570.52,4248.5303.09.562.11079119.1
New Orleans SaintsNew Orleans Saints201682925034672.33,0068.7375.88.451.41289120.4
Indianapolis ColtsIndianapolis Colts201482920031563.52,7648.8345.59.261.91046114.3
Green Bay PackersGreen Bay Packers201482817226465.22,3588.9294.810.610.41486127.4
Denver BroncosDenver Broncos201482920428870.82,4418.5305.110.141.4856124.2
Green Bay PackersGreen Bay Packers201283019829367.62,4598.4307.410.231.020111123.2
Green Bay PackersGreen Bay Packers200482619929667.22,4828.4310.38.851.7322115.3
St. Louis RamsSt. Louis Rams200182719526075.02,66010.2332.510.472.71485130.6
Carolina PanthersCarolina Panthers199982817728761.72,3888.3298.59.862.122116112.0
Green Bay PackersGreen Bay Packers199682915925362.81,9967.9249.511.552.01582117.3
StatMuse has team, game-level data for passing touchdowns going back to the 1940 season.

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