There have been over 100 undefeated football teams in NCAA history. The most recent was the 2013 champion, Florida State (14-0).
As of the 2007 season, there are 119 Division 1A teams in the NCAA.
12 teams have gone undefeated with Indiana the last in 1976 1976 Indiana Hoosiers (took national title as well) Here's your answer: http://sportsillustrated.cnn.com/2005/basketball/ncaa/02/18/bc.bkc.unbeatenhoosiers.ap/ 12 teams have gone undefeated with Indiana the last in 1976. The Connecticut Lady Huskies went undefeated last season. The 2008-2009 season as well.
No team every team lost at least 1 game
University of Memphis Basketball Team is undefeated.
Division 2, Gannon University in Erie, PA.
Not including 2008 season Michigan does