Tiki Barber had the most games with 200+ rushing yards in 2005, with 3 games.

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most 200 yard rushing games in 2005
Interpreted as:
most 200 or more yard rushing games by a player in 2005
2005Barber2005Johnson32
NAMESEASONTMGPRUSH YDSATTYPCRUSH YDS/GRUSH TDREC YDSRECTRGAVGREC YDS/GREC TD
Tiki BarberTiki Barber2005NYGNYG3629817.8209.749412147.831.30
Larry JohnsonLarry Johnson2005KCKC2412626.6206.0527339.013.50
StatMuse has game-level data for rushing yards going back to the 1960 season.