Well I'd like to see traditional japanese culture. Not so much the big cities like Tokyo, maeby some but not many. I chose japan cause I'm intrested in the language and culture. I'm hoping to learn more about the japanese culture.

Shikoku and Kyoto (and nara) will have the true culture that you are looking for, and Nikko also have a bit of that. All are true tourist area that have a strong emphasis in history and culture.

I could be wrong, but I think learning the history is the best way to expose yourself to the culture, There is at least 1 museum in Saitama (Saitama Prefectural Museum of History and Folklore), as well as the Tokyo-Edo museum that you can have a look at

I will leave the rest to MMM to help you with...