Every record for most divisions: http://www.ncaa.org/library/records/football/football_records_book/2006/2006_d1_football_records_book.pdf
NCAA Division 1
Click on the 'NCAA Division 1-A Teams' link on this page to see the 119 teams that make up the Division 1-A in NCAA football.
Click on the 'Division 1-A Football Colleges' link on this page to see all schools that play NCAA Division 1-A football. Click on the 'Division 1-AA Football Colleges' link on this page to see all schools that play NCAA Division 1-AA football.
Football Bowl Subdivision (formerly NCAA Division 1-A)
The University of Massachusetts Minutemen compete in NCAA Division 1. Their football team will begin playing in the Football Bowl Subdivision in 2012.
As of my last update, there are no NCAA Division I AAA schools. The NCAA operates three divisions: Division I, Division II, and Division III. However, Division I does have different classifications based on the level of football, with FBS (Football Bowl Subdivision) and FCS (Football Championship Subdivision), but there is no Division I AAA classification.
Michigan
The Falcons participate in NCAA Division I (Division I-A for football) and in the Mid-American Conference
Click on the 'Division 1-A Teams' and 'Division 1-AA Teams' links on this page to see all time win loss records as of the start of the 2007 season.
Purdue
Florida
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.