Dazaifu

A large and beautiful complex dedicated to Sugawara Michizane in the city of his exile from Kyoto. It is considered to be one of the Three Great Tenjin Shrines of Japan. This shrine is popular with students as it is dedicated to Sugawara-no-Michizane who was deified as Temman Tenjin or Kanko, the god of culture and scholars. The street leading to the shrine is famous for umegaimochi, a kind of sweet plum-filled rice cake.

It's the newest National Museum following Tokyo, Kyoto and Nara. Based on the concept "understand Japanese culture from the point of Asian view", they don't only exhibit but also preserve and investigate cultural assets, then prepare a variety of educational events to keep the museum fresh. The museum generally has interesting temporary exhibits, so check the website.