I don't know the complete list, but I do know that Michigan State was the first D-1 university to win two championships in both Basketball and football.
Florida is another one.
princeton
University of Kentucky
1 championships 6 titles mostly played in a fieastea bowl and rose and sugar
Maryland
No Alabama football coaches have won national championships.
11 NATIONAL CHAMPIONSHIPS
Alabama's Basketball team has 0 National Championships
The UConn men's basketball team has won 2 national championships coming in 1999 and 2004. The UConn women's basketball team has won 6 national championships. The Huskies won the 2009 national championship in April.
The University of North Carolina does not have any national championships in football.
Nick Saban of Alabama.
The University of Michigan has 11 National Championships. The University of Miami has 5 National Championships.
Ohio State