After the 2008 Season: Utah has won their last 8 bowl games (including 2 BCS bowls, but not consecutively - they missed bowls in 2000 and 2002). Vanderbilt beating B.C. ended what would have been a 9 game bowl streak. Among Consecutive Streaks are: Texas 5 (3 BCS including 2005 Nat'l Championship) West Virginia 5 (0 BCS)
The longest winning streak in Iron Bowl history was 9 years (1973-1981) by Alabama, before it was broken by Auburn in 1982 , with the help of Bo Jackson jumping over the offensive line into the end zone for the win.
San Francisco with 5
Florida State
If your talking about there losing streak in the Hawaii bowl, they don't have one but they do have 1 win in the bowl(only) in 2009
Heron way
From 1985 to 1997, the National Football Conference won 13 consecutive Super Bowls. The streak began with the San Francisco 49ers' victory over the Miami Dolphins in Super Bowl XIX and was snapped when the Denver Broncos defeated the Green Bay Packers in Super Bowl XXXII.
Northwestern Wildcats
They won 9 in a row in 1980, that is the longest I can find. They are on an 8 game winning streak now, in the 2010 season, with 2 games remaining. The Falcons won the last 9 games of their 1998 season. They went on to win two playoffs for a Super Bowl appearance where they lost to the Denver Broncos. That would make an 11 game streak including post-season play. In 1980, in a 12-4 regular season, their 9 game winning streak ended when they lost the last game of the season. They were eliminated in the first round of the playoffs.
VANDY
Notre Dame does with 9. The streak came to an end with a win over Hawaii in the Hawaii Bowl on December 24, 2008.
Florida State has been in 28 straight bowl games, with a record of 19-7-1 in the last 27 games. The Gator Bowl on 1/1/2010 will be the 28th straight and final bowl game for Bobby Bowden. Also, Nebraska made 45 consecutive bowls from 1969 to 2003. The streak lasted from Bob Devaney to Frank Solich, who did not coach the 2003 Alamo Bowl (Bo Pelini did and beat Michigan State 17-3). Michigan went to bowl games from 1976 to 2008, making 33 straight. Ohio State went to 26 straight Bowl games from 1972 to 1998, that ended when John Cooper went 6-6 and failed to make a Bowl. I do not know the 5th team, but I hope this is a good start. GO BIG RED!!
The Washington Redskins' longest win streak is 10 games, which they achieved in the 1991 season. They went on to win the Super Bowl that year, beating the Buffalo Bills.