Michael Vick has the most rushing yards by a quarterback with 5,139 yards.
The Denver Bronco's quarterback who holds the record for the most passing yards in a game was Peyton Manning. He passed the record of Drew Brees
Denard Robinson from the University of Michigan holds the record for most rushing yards by a quarterback in a season with 1,538 yards. Robinson also holds the record for most career rushing yards by a QB in NCAA history with 4,495 yards.
Dan Marino holds the record for passing yards in a season with 5084 in 1984.
Brett Favre holds the record for most career passing yards, with 71,838.
Timmy Smith holds that record from when he ran for 204 yards with the Washington Redskins in Super Bowl XXII.
In the NFL, it is Bobby Douglass with 968 yards for Chicago in 1972. In this 2004-2005 season, Michael Vick is on a pace to break that record. As of the start of the 2007 season, Michael Vick holds the single season rushing record by a quarterback with 1,039 yards in the 2006 season.
Patrick White, WVU QB 2005-2008 4,385 yards
Michael Vick of the Atlanta Falcons holds the NFL Quarterback single game rushing record with 173 yards from 10 attempts during a 2002 game vs the Vikings. Nealon Greene of the Edmonton Eskimos holds the CFL Quarterback single game rushing record with 180 yards in 14 carries versus the Saskatchewan Roughriders on July 19, 1999.
In a career, Randall Cunningham holds the record for rushing yards by a Quarterback with 4928. Michael Vick does hold the single season record with 1039 yards.
Lynn Dickey with 4458 passing yards in 1983.
Timmy Smith (204 yards) Washington Redskins in Super Bowl XXII
Nealon Greene with 180 yards is the CFL record and the NFL record was just set this past weekend
Kurt Warner, 414 yards vs. Tennessee Titans (only QB to pass for 400+ yards in the Super Bowl; also owns 2nd and 3rd highest yardage total in Super Bowl with 377 against the Pittsburgh Steelers and 365 against the New England Patriots).
The Vikings single season passing yards record is held by Daunte Culpepper who threw for 4717 yards in 2004.