Perhaps less known is the fact that director Quentin Tarantino got the idea for this fighting scene while visiting a famous Tokyo restaurant called Gonpachi (see photo below).
Watch this fighting scene between The Bride (Uma Thurman) and Gogo Yubari (Chiaki Kuriyama) in the restaurant (named The House of Blue Leaves in the film):
Despite its nearly legendary status, the prices in Gonpachi are relatively inexpensive. For instance, you can get decent lunch for as low as about 1000 Yen (about $12).
Gonpachi has several locations in Japan: four in Tokyo (G-Zone Ginza, Nishi-Azabu, Odaiba, Shibuya) and one in Fukuoka (Tenjin).
Gonpachi restaurant official web site can be found here (in English).