Edo-Tokyo museum
If you are interested in Edo culture I recommend the Edo-Tokyo Museum next to Ryogoku Kokugikan (Sumo Arena).
You can see the lifestyle of people who were living in the big city in Edo period. When I visited there I could enjoy a Japanese traditional music show like Syamisen and Koto performance! I saw some tourists with English volunteer guide.
Edo-Tokyo museum:
http://www.edo-tokyo-museum.or.jp/english/index.html
misa