FSU Museum of Fine Arts
http://www.mofa.fsu.edu/
Just because it's small and unassuming doesn't mean it's boring. The exhibits that pass through this gallery are varied in both size and quality, but are always constant in one thing: They're interesting. From student work to famous work, MoFA is always worth a visit. Check the website or the calendar of events for the exhibit openings, when you can get free food and usually free wine, as well as meet the artists.