The Cleveland Museum of Art has an impressive collection with some world-class pieces of art. In addition to the main rooms, they've installed other artworks in odd spaces of the museum which enhances the whole aesthetic experience. Special exhibitions are aesthetically and intellectually engaging. It's architecturally stunning; with the new addition, they built a lush, warm, beautiful in-between space, so it's like a little paradise you can rest in between excursions to the galleries. If I lived in Cleveland, I'd want to be here all the time.
On top of all this, admission is free. Totally free. Permanent collection or special exhibitions, it's all FREE. Any city would be fortunate to have a public institution like the Cleveland Museum of Art.