In 44 years, only the Bills have it made it to four consecutive Super Bowls. Only one other team, the Miami Dolphins, has made it to three consecutive. No team except the Bills has ever lost four consecutive Super Bowls.
It all started in 1990 with a Super Bowl loss to the New York Giants. Going into the game, the Bills were favored by seven points. At the end of the game, the Giants were ahead 20-19, but Pro Bowl placekicker Scott Norwood had one last chance to put the Bills ahead with a 47-yard field goal. It was wide to the right, hence the name "The Wide Right Game."
In 1991, the Bills were again crowned AFC champions and faced off against the Washington Redskins in the Super Bowl. This game wasn't nearly as close as the previous; the Redskins jumped to a 24-0 lead and the game ended with a score of 37-24. At that point, the Bills were the third team in NFL history--along with the Vikings and the Broncos--to lose back to back Super Bowls.
The point deficit grew again in 1992, when Troy Aikman and the Cowboys routed the Bills 52-17 to be crowned NFL Champions.
Lastly, the snakebitten Bills again faced off against the Cowboys in 1993, this time shrinking the point deficit to a much less painful 30-13.
There are two basic reasons why this record is nearly untouchable:
1. Though it's certainly possible, it would take a hell of a team to reach the five consecutive Super Bowls needed to break the record.
2. Any team good enough to reach five consecutive Super Bowls should be good enough to win at least one, even if by luck.