I went to the Map Room my first night in Cleveland, and since then it's been one of my favorite bars. It's never too crowded, and the people there are interesting, friendly, DON'T CREEP, and aren't falling down drunk (for the most part!) Drinks are cheap and the selection is good. I like being here at the start of the night, I like being here at the end of the night!
Their pizza is also very good - I do wish they had individual slices, though, and my late-night self wishes the kitchen didn't close so early.
Anyway, check it out! Definitely worth a stop or two. A night. Every night.