Kenzo Tange's monumental Tokyo Metropolitan Government Building is worth visiting purely to have a good look at its spectacular edifice, but it's also home to a pair of free observatories that have become a popular tourist attraction. For good reason, the TMG's observatories are completely free of charge. Particularly popular at sunset, when clear days afford good views of Mt Fuji, the observatories also serve refreshments. They also stay open quite late (11pm), so you can even pop by after a visit to the opera.