34 QBs have won a Super Bowl. 15 of them are already in the hall, 4 more seem sure to enter (Brady, Brees, Eli Manning, Roethlisberger). Aaron Rogers, Patrick Mahomes, and Matthew Stafford are also possible.
The remaining 12 are guys we've all heard of, but wouldn't be anyone's pick for building a championship team. None were really the statistical team leader. Three of them weren't even their team's regular starter. But, it shows that almost 1/3 of the time, it doesn't take a star QB to make a winner...especially if they have strong ground games and good defenses.
The 12:
Trent Dilfer
Joe Flacco
Nick Foles
Jeff Hostetler
Brad Johnson
Jim McMahon
Jim Plunkett
Mark Rypien
Phil Simms
Joe Theismann
Doug Williams
Russell Wilson
Jim Plunkett is one guy on that list who has a pretty good argument for being in the Hall of Fame. Joe Theismann is another. Both put up great stats over an extended period of time. Phil Simms had injuries at various times in his career that torpedoed his shot but he's still a guy that shouldn't be blown off. The rest of the list are guys that didn't have extended high level success or as mentioned above, not sucking but not really elevating their teams on a consistent basis.