That was the Green Bay Packers who won the first two Super Bowls played in 1967 and 1968.
Don Shula of the Miami Dolphins was the first head coach to lead his team to three consecutive Super Bowls. The Dolphins lost Super Bowl VI, but prevailed in Super Bowls VII and VIII.
No team has ever lost 5 Super Bowls. The Buffalo Bill lost 4 consecutive Super Bowls from 1991 - 1994.
As of Super Bowl XLII, no quarterback nor team has won three consecutive Super Bowls.
Buffalo
Yes ... not only are the Bills the only team to lose four consecutive Super Bowls they are the only team to ever play in four consecutive Super Bowls.
Miami Dolphins - Super Bowls VI, VII, and VIII.
The Buffalo Bills in Super Bowls XXV through XXVIII.
Buffalo bills
Buffalo Bills (4).
Miami played in Super Bowls VI, VII, and VII and won VII and VIII.
Minnesota Vikings in Super Bowls VIII and IX: Super Bowl VIII: Miami Dolphins 24, Vikings 7 Super Bowl IX: Pittsburgh Steelers 16, Vikings 6
No, but many have won 2 in a row.