A Hidden Japanese Gem: Studio Ghibli Museum
Hop aboard the Cat Bus express, Ghibli fans! Some may state that the Ghibli Museum is geared toward children, but if you are a Miyazaki fan this museum is a must-see. Splurge a bit and book a tour with your hotel, or purchase tickets at the local convenience store. If I remember correctly, Lawson convenience stores should sell the tickets.
The Ghibli museum is located in the suburbs of Tokyo in Inokashira Park, Mitaka. It might appear to be slightly difficult to get to if you're not familiar with the public transportation, which is why I suggest the tour. The museum is full of Ghibli gems and rooms dedicated to movies and characters; Hayao Miyazaki hand painted the walls himself. There are many perfect photo opportunities with icons from several different movies. Your ticket into the museum also includes a movie ticket to a tiny home theater in the museum, which plays a short that can be seen only in the museum. (It changes every few months, so you're likely to never see the same one twice.) Of course, the museum has a fantastic gift shop with many items that can only be purchased there. Depending if you opt to take the tour, your tour guide might also take you to a small Japanese store that is slightly cheaper and also has Studio Ghibli memorabilia.