There was no 1933 NCAA Tournament. The first NCAA Tournament was in 1939 with Oregon beating Ohio State in the Finals.
Duke won the 2001 NCAA tournament
The Kentucky Wildcats won the NCAA basketball tournament in 1948.
Duke beat Butler in the Men's NCAA Tournament. UCONN beat Stanford in the Women's NCAA Tournament.
Cornell won an NCAA tournament game in the second round of the 2010 tournament
Michigan was a #3 seed when they won the NCAA Men's Basketball Tournament in 1989.
Kansas
Indiana
Syracuse
Duke
UCLA
Kentucky
Florida has won the NCAA Men's Basketball Tournament twice, in 2006 & 2007.