Miami of Ohio may accomplish that feat if it wins its Bowl game on January 6, 2011. They would go from 1-11 to 10-4 in consecutive years.
Depend on your division.
Larry Kehres. Mount Union won 55 consecutive football games between the 1st game of the 2000 season and the Division III championship game in 2003.
Portsmouth F.C. have won Division One, as of then the top tier of English football, on two occasions, in the 1948-49 season and in the 1949-50 season.
As of the 2007 season, there are 119 Division 1-A college football teams. Click on the 'NCAA Division 1-A Schools' link on this page to see a list of them.
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Colorado Avalanche with 8 (9 if you include Quebec's last season).
Joe Paterno. He has the most wins against Division 1A teams and he also is the Division 1A coach with the most wins against teams of any Division.
For the 2006 season, there were 119 division 1-A teams and 111 division 1-AA teams.
Clemson Tigers 1977 Baseball team had 29 wins to begin the season
While they played a few Division 1A teams in the past, Florida International became a Division 1A football program starting in the 2006 season. Their 2006 record was 0-12.
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The Atlanta Braves won 14 consecutive division titles between 1991 and 2005. In 1991, 1992, and 1993 they won the NL West. Then the end of the 1994 season was canceled due to a strike. The Braves then moved to the NL East, where they won the division from 1995 - 2005.