You must have a different definition of "great".
The Pavilion (Minn, 1950), Coliseum (Neb, 1926), Fieldhouse (Wisc, 1930), and Ahearn (KSU, 1950) are old buildings that were sitting empty after other sports got newer digs.
Add Illinois and Huff Hall to that list. The men's basketball team played there before Assembly Hall was built. It's got character, but it needs some air conditioning.