This is one of Tokyo's top museums, not only because its exhibits are always topnotch, but also because it's the highest museum in the city. Fifty-three stories high, in fact, providing unparalleled panoramas in virtually all directions. But if that's not high enough, you have the option of going all the way to the top, to the open-air rooftop Sky Deck, for ¥500 extra. As for the art, exhibits change four times a year for innovative shows from both new and established artists, with past shows covering everything from contemporary African art to the largest Warhol exhibition ever presented in Japan. The art space is gorgeous, too, with 6m-tall (20-ft.) ceilings and controlled natural lighting. Most shows give access to a free audio guide. You'll want to spend at least 90 minutes here.