Two, in 2006 & 2007.
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.
Three in football. 1996 2006 2008 Two in basketball. 2005 2006
2006, in football they beat Ohio State, and basketball they beat UCLA. The basketball team also won it again, the next year beating Ohio State.
university of Florida, Ohio state university, ucla, and Michigan. maybe some more. Syracuse
Florida has won 7 SEC championships and 3 national championships the last being in 2008.
Florida in 2006 is it. Michigan State University 1950 and 60's in football. '79 and '00 for basketball.
For the University of Central Florida the answer would be zero.