Space World, Kitakyushu-Shi

This worldwide theme park is the largest and most popular amusement park in Fukuoka. It is located in Kitakyushu City, which is a little less than an hour from Hakata Station, unless you are using the bullet train (faster). The attractions are numerous, but one interesting feature is that you can pay for individual attractions if you like. You could even buy a pass, which gives you admittance to the park and most attractions. There are other ticket prices as well for evening hours or groups.