I don't know if this answers your question because he actually won the Super Bowl more than twice, but Tom Brady of the New England Patriots has won the super bowl twice.
BART STARR HE ALSO won super bowl #2
Troy Aikman was the winning quarterback in Super Bowl XXX.
Seahawk's quarterback, Russell Wilson, at 5'11" won the 2013 Super Bowl.
Peyton Manning won Super Bowl XLI and Eli Manning won Super Bowl XLII
No starting quarterback has won a Super Bowl ring with two different teams.
The Oakland Raiders were not in the 1980 Super Bowl. The Oakland Raiders quarterback in the 1981 Super Bowl was Jim Plunkett.
As of Super Bowl XLII, no quarterback nor team has won three consecutive Super Bowls.
The winning quarterback of the 1997 Super Bowl XXXI was Green Bay Packers Brett Farve.
The Raiders quarterback was Rich Gannon, and the Buccaneers quarterback was Brad Johnson. The Buccaneers won Super Bowl XXXXII 48-21.