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 University of North Carolina does not have any national championships in football.
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.
Nick Saban of Alabama.
The University of Michigan has 11 National Championships. The University of Miami has 5 National Championships.
11 national championship