It was pretty early in the morning (for me) when I took the ten minute walk from the closest train station to the Museum of Contemporary Art Tokyo. I had a few destinations in mind that day, but first I had to get a little current culture credit in.
Note that this building is called Bloomberg Pavilion, and may disappear by the end of October. The exhibitions inside seem to have changed frequently, and the one I saw was by Fumiko Kobayashi.
Inside the museum are exhibitions that tend to change pretty often. When I was there, one work involved walking onto a padded, raised area, curtained off as its own large dark room, where you could lie on your back and stare at a projected video. If I hadn't had caffeine before going to the museum, I probably could have taken a nap. I recall someone lightly snoring off to one side at one point. There's a fashion exhibit currently showing until Monday (October 8, 2012).
Fans of contemporary art living nearby might be interested in multiple visits to see new exhibitions. I guess that goes without saying.
The museum is located a bit out of the way, and at least a 10 minute walk from the nearest subway/train station. The easiest route is to take the Hanzomon subway line to Kiyosumi-shirakawa Station, walk east for a while, then walk south along Mitsume Street to the museum. It's open Tuesday through Sunday 10-6 and a few Mondays. The whole place closes several times during the year, including four multi-week periods to switch out exhibitions (October 9-26, 2012, for example). Be sure to check the website for up-to-date closures! Admission is 500 yen for the permanent exhibition, with extra charges for temporary exhibitions.