Michigan was a #3 seed when they won the NCAA Men's Basketball Tournament in 1989.
UCLA
No, Illinois has never won the NCAA Men's Basketball Tournament.
Kentucky
Kentucky.
NCAA Championship 1960 OSU They Have Won One
Baylor Bears
Yes in 1989.
Ohio State.
University of Connecticut
No. The Drexel Dragons men's basketball team made it to the second round of the NCAA tournament in 1996 but were defeated by Syracuse.
Princeton hasn't won a game in the NCAA tournament since 1998 when they beat UNLV in the first round, 69-57.