Uniquely Japanese attractions for kids?

I will be taking my 6 year-old daughter on a trip to Japan (outside Tokyo) this Spring and am looking for good kid destinations. However, I'm not interested in Western-style attractions (e.g., Disneyland, Universal, aquariums). Does anyone have a good idea for something that is both uniquely Japanese and interesting to kids?

Then, I recommend a "Edo Wonderland" theme park that depicts feudal Japan. There are several of them across Japan. The easiest accessible ones are in Nikko:
http://www.edowonderland.net/home.html

And in Ise:
http://www.japan-guide.com/e/e4305.html

Some people also enjoy the movie theme park "Eigamura" in Kyoto:
http://www.japan-guide.com/e/e3934.html

Anpanman Childrens Museum in Yokohama
http://www.yokohama-anpanman.jp

Momofuku Ando Instant Ramen Museum near Osaka: http://www.nissin-noodles.com/english.htm

Mangattan Museum in Ishinomaki near Sendai: http://www.man-bow.com/manga

Studio Ghibli Museum in Mitaka
is good for kids and adults.

http://www.ghibli-museum.jp/en/

Only a 1,000 yen, too.

Depending on the date, cherry blossoms might be in full bloom. If so, there are plenty of places you can stroll along while watching interesting people enjoying picnics. For example, Inokashira Park near Ghibli Museum is a major cherry blossom picnic spot. Off season as well, you can roll boats at the lake there and there is a tiny zoo. Shopps along the street leading from Kichijoji Station might be entertaining for the parent.

Walking along Nakamise vendors path at the temple of Sensoji in old town Asakusa can be fun for both kids and parents. There are tons of traditional sweats and toys.