This is Tokyo’s highest museum, on the 53rd floor of the Roppongi Hills Mori Tower. Opened in 2003, it features state-of-the art galleries with 6m-tall (20-ft.) ceilings, controlled natural lighting, and great views of Tokyo. Innovative exhibitions of emerging and established artists from around the world are shown four times a year, with past shows centering on contemporary Asian, African, and Japanese art. Although the installations alone are worth a visit, an extra incentive is the attached Tokyo City View observatory, usually included in the museum admission and providing eye-popping views over Tokyo.