Since 2000, Brian Mitchell has the most passing yards by a running back in a season, with 57 yards in 2002.

most passing yards by a running back in a season 2000 to 2021
2002Mitchell2018McCaffrey2005Tomlinson2015Andrews2008Brown2004Tomlinson2003Cason2007Washington2019White2019Samuels2000Williams2020Bowden2003Toefield2001Bettis2013Powell2010Robinson2009Jackson2002Johnson2004Anderson2002Westbrook2001Faulk2013Reece2009Addai5750474141383736353534323232302827272625232222
NAMESEASONTMGPYDSCMPATTPCTAVGYDS/GTDTD%INTINT%SCKSCKYRATE
Brian MitchellBrian Mitchell2002PHIPHI165711100.057.03.61100.000.000158.3
Christian McCaffreyChristian McCaffrey2018CARCAR165011100.050.03.11100.000.000158.3
LaDainian TomlinsonLaDainian Tomlinson2005SDSD16473475.011.82.9375.000.000153.1
Antonio AndrewsAntonio Andrews2015TENTEN144111100.041.02.91100.000.000158.3
Ronnie BrownRonnie Brown2008MIAMIA16412366.713.72.6133.300.018149.3
LaDainian TomlinsonLaDainian Tomlinson2004SDSD15381250.019.02.500.000.01195.8
Aveion CasonAveion Cason2003DALDAL103711100.037.03.700.000.000118.8
Leon WashingtonLeon Washington2007NYJNYJ163611100.036.02.300.000.000118.8
James WhiteJames White2019NENE153511100.035.02.300.000.000118.8
Jaylen SamuelsJaylen Samuels2019PITPIT14354580.07.02.500.0120.00056.3
Ricky WilliamsRicky Williams2000NONO103411100.034.03.400.000.000118.8
Lynn BowdenLynn Bowden2020MIAMIA10321250.016.03.200.000.00095.8
LaBrandon ToefieldLaBrandon Toefield2003JAXJAX16321250.016.02.000.000.00095.8
Jerome BettisJerome Bettis2001PITPIT11321250.016.02.9150.000.000135.4
Bilal PowellBilal Powell2013NYJNYJ163011100.030.01.900.000.000118.8
Michael RobinsonMichael Robinson2010SEASEA112811100.028.02.500.000.000118.8
Fred JacksonFred Jackson2009BUFBUF162711100.027.01.71100.000.000158.3
Leon JohnsonLeon Johnson2002CHICHI162711100.027.01.700.000.010118.8
Richie AndersonRichie Anderson2004DALDAL122611100.026.02.21100.000.000158.3
Brian WestbrookBrian Westbrook2002PHIPHI152511100.025.01.71100.000.000158.3
Kevin FaulkKevin Faulk2001NENE152311100.023.01.500.000.000118.8
Marcel ReeceMarcel Reece2013OAKOAK162211100.022.01.400.000.000118.8
Joseph AddaiJoseph Addai2009INDIND152211100.022.01.51100.000.000158.3
Ronnie BrownRonnie Brown2009MIAMIA9222633.33.72.4116.700.01984.7
Tarik CohenTarik Cohen2017CHICHI16211250.010.51.3150.000.000127.1
StatMuse has season-level data for passing yards going back to the 1932 season.