If you're interested in contemporary art that's too cutting-edge for most museums, don't miss this MoMA affiliate museum. Reinaugurated in 1997 after a 3-year $8.5 million renovation of the Renaissance Revival building that was originally a public school (hence the name), this is the world's largest institution exhibiting contemporary art from America and abroad. You can expect to see a kaleidoscopic array of works from artists ranging from Jack Smith to Julian Schnabel; the museum is particularly well known for large-scale exhibitions by artists such as James Turrell.