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Photo: Pontafon, CC BY-SA 3.0 via Wikimedia Commons
The 8th-century Kushida Shrine is starting point for the annual Gion-Yamakasa Festival.
Kushida-jinja (櫛田神社) is a Shinto shrine located in Hakata-ku, Fukuoka, Japan. Dedicated to Amaterasu and Susanoo, it is said to have been founded in 757. The Hakata Gion Yamakasa festival is centred on the shrine.
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博多町屋ふるさと館
gives you a glimpse of the Hakata way of life.
This area has several historical shrines and Buddhist temples, including:
It has a 10.8-m wooden Great Buddha.
This area is next to Tenjin and is Fukuoka's red-light district, with over 3500 restaurants, as well as ramen stalls (yatai), shopping, pubs, hostess bars, rooftop beer gardens in summer, one surviving movie theater, and sex trade. The neon lights on the Naka River are famous with over 60,000 visitors a day, and it has the busiest street in Kyushu.
Hakata-za
An experience worth checking out. Check times and prices at the Hakata-za near Nakasu. If you don't want to stay for the whole show, or don't have so much money to spend, you can watch part of a show for about ¥800; see here for details. Half price student/young (~25) adult tickets may be available day of performance to be released 20 minutes prior to the show; see here for details.
This gallery hosts temporary exhibitions from Kyushu and all around Asia. It has a good shop.