Only 6 QBs ever have been selected #1 overall and won a Super Bowl. Most that were selected 1st overall never played in one.
Here are eligible QBs that were first overall picks and did not win a Super Bowl.
Alex Smith, JaMarcus Russell, Tim Couch, David Carr, Drew Bledsoe, Jeff George, Vinny Testaverde, Stev Bartkowski, Terry Baker and Randy Duncan.
First overall picks who did win a SB as a QB :
Terry Bradshaw, Jim Plunkett, John Elway, Troy Aikman, Peyton Manning and Eli Manning.
Drew Bledsoe, Super Bowl XXXI, New England Patriots
James Worthy was selected number one overall in the 1982 NBA Draft.
Bryce Harper was selected first overall by the Washington Nationals in the 2010 draft.
Jeff George, selected 1st overall by the Indianapolis Colts.
Andrew Bogut by the Milwaukee Bucks
Fifth.
Carmelo Anthony
The Raiders selected 7th overall in the 1st round of the 2006 NFL draft and selected cornerback Michael Huff out of the University of Texas.
Sidney Crosby was the first overall pick in the 2005 NHL draft. He was selected by the Pittsburgh Penguins.
Yes, in the 2009 WNBA Draft, she was selected first overall by the Atlanta Dream.
Sam Bradford - QB - selected by the St. Louis Rams
Yes. Allen Iverson was selected with the first overall pick of the 1996 draft, by the Philadelphia 76ers.