No quarterback has won a second Super Bowl title after moving to/being traded to a new franchise.
No team has ever won super bowls with four different quarterbacks. In fact, only three teams have even won four super bowls: Pittsburgh, San Fransisco, and Dallas. No team has ever won super bowls with more than two quarterbacks. The Steelers won four with Terry Bradshaw and two with Ben Roethlisberger. 49ers won four with Joe Montana and one with Steve Young. The Cowboys won two with Roger Staubauch and three with Troy Aikman.
27 different teams
Drew Brees (New Orlean Saints) and Peyton Manning (Indianapolis Colts) The Saints won
Tony Romo in 2007 and Matt Ryan in 2012