To reset, there have been six games that featured starting QBs who both had won at least two Super Bowls as starters.
November 14, 1976: Miami 3 @ Pittsburgh 14 (Griese 2, Bradshaw 2)
November 5, 1978: Dallas 16 @ 23 Miami (Staubach 2, Griese 2)
Janury 21, 1979/Super Bowl XIII: Pittsburgh 35/Dallas 31 (Bradshaw 2, Staubach 2)
October 28, 1979: Dallas 3 @ Pittsburgh 14 (Staubach 2, Bradshaw 3)
December 30, 1979/Divisional Playoffs: Miami 14 @ Pittsburgh 34 (Griese 2, Bradshaw 3)
September 22, 1985: San Francisco 34 @ LA Raiders 10 (Montana 2, Plunkett 2)
In addition, there have been ten games that featured five rings (again won as starters). Two of the games are listed above; the other eight are:
September 7, 1980: Houston 17 @ Pittsburgh 31 (Stabler 1, Bradshaw 4)
December 4, 1980: Pittsburgh 0 @ Houston 6 (Bradshaw 4, Stabler 1)
October 26, 1981: Houston 13 @ Pittsburgh 26 (Stabler 1, Bradshaw 4)
December 3, 1990: NY Giants 3 @ San Francisco 7 (Simms 1, Montana 4)
December 26, 1993: Kansas City 10 @ Minnesota 30 (Montana 4, McMahon 1)
November 6, 1994: LA Raiders 3 @ Kansas City 13 (Hostetler 1, Montana 4)
November 20, 1994: Cleveland 13 @ Kansas City 20 (Rypien 1, Montana 4)
December 24, 1994: Kansas City 19 @ LA Raiders 9 (Montana 4, Hostetler 1)
Time to update the list. After 25 years without a matchup between QB's with two or more rings, we've got a historic matchup in consecutive seasons. With the same two QB's.
November 14, 1976: Miami 3 @ Pittsburgh 14 (Griese 2, Bradshaw 2)
November 5, 1978: Dallas 16 @ 23 Miami (Staubach 2, Griese 2)
Janury 21, 1979/Super Bowl XIII: Pittsburgh 35/Dallas 31 (Bradshaw 2, Staubach 2)
October 28, 1979: Dallas 3 @ Pittsburgh 14 (Staubach 2, Bradshaw 3)
December 30, 1979/Divisional Playoffs: Miami 14 @ Pittsburgh 34 (Griese 2, Bradshaw 3)
September 22, 1985: San Francisco 34 @ LA Raiders 10 (Montana 2, Plunkett 2)
November 14, 2010: New England 39 @ Pittsburgh 26 (Brady 3, Roethlisberger)
October 30, 2011: New England? @ Pittsburgh? (Brady 3, Roethlisberger 2)