Timmy Brown had the most games by a running back with 100+ receiving yards, 1+ reception and 1+ receiving touchdown, with 7 games.

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most games with 1 rec, 100 yds, 1 td by a rb
Interpreted as:
most regular-season games with 1 or more rec, 100 or more receiving yds, 1 or more receiving td by a rb
BrownFaulkDanielsKamaraBushWestbrookWoolfolkHaynesCannonSprolesTomlinsonHolmesWilliamsBrownHoferForemanMorrisonCrowCarmichaelEkelerFosterForteJohnson76544444433333333332222
NAMEGPRECREC YDSREC TDTRGAVGREC YDS/GRUSH YDSATTYPCRUSH YDS/GRUSH TD
Timmy BrownTimmy Brown7361,012928.1144.6282565.040.33
Marshall FaulkMarshall Faulk64280393419.1133.8404924.467.31
Clem DanielsClem Daniels520621731.1124.2321724.564.23
Alvin KamaraAlvin Kamara43848054312.6120.0225395.856.33
Reggie BushReggie Bush42746943517.4117.3215514.253.83
Brian WestbrookBrian Westbrook42952063817.9130.0316526.179.03
Butch WoolfolkButch Woolfolk426476418.3119.0153354.438.31
Abner HaynesAbner Haynes422493422.4123.3305506.176.32
Billy CannonBilly Cannon422454920.6113.5288594.972.03
Darren SprolesDarren Sproles32036632318.3122.053163.317.71
LaDainian TomlinsonLaDainian Tomlinson32540853316.3136.0177513.559.00
Priest HolmesPriest Holmes31731932018.8106.3383655.9127.74
John L. WilliamsJohn L. Williams327426315.8142.0123333.741.00
Ted BrownTed Brown323364315.8121.3195543.665.01
Paul HoferPaul Hofer325379315.2126.3234405.978.02
Chuck ForemanChuck Foreman322354516.1118.0251713.583.71
Joe MorrisonJoe Morrison319416321.9138.718101.86.01
John David CrowJohn David Crow313370428.5123.356144.018.70
Al CarmichaelAl Carmichael316356522.3118.765193.421.70
Austin EkelerAustin Ekeler21123021320.9115.0108138.354.00
Arian FosterArian Foster292212924.6110.5199424.799.53
Matt ForteMatt Forte21925631913.5128.0111343.355.50
Larry JohnsonLarry Johnson21422121815.8110.582332.541.01
Garrison HearstGarrison Hearst282082426.0104.0136373.768.00
Amp LeeAmp Lee216237214.8118.53047.515.00
StatMuse has game-level data for receiving touchdowns, receiving yards, and receptions going back to the 1960 season.