Jeopardy (Movies whose Title is a Question)

This movie is from 1966

Leonard gives it 3 stars

Leonard says about this movie that it's one long, very funny joke. The music is by The Lovin' Spoonfull (who also appear in the film)

Leonard lists 6 names

(the names are listed from bottom up)
6. China Lee

5. Woody Allen 

4. Tadao Nakamura

3. Eiko Wakabayashi

2. Miya Hana

1. Tatsuya Mihashi

The movie is What's up, Tiger Lilly?