When I was in Kyushu I didn’t find any interesting arcades in the rural areas (there was one shopping mall in Yatsushiro with the most banal Taito Station I’d ever set foot in) but there were a couple of interesting places of note in Fukuoka:
The retro store Culture Arts (that one in an apartment block I posted last month) had a bunch of arcade cabs around the back. 50 yen a go on all of them, I remember Gradius II, Twinkle Star Sprites and Esprade being there
The Sega Arcade that reopened in Tenjin after over a decade had some retro games on the top floor, but they were all scandalously priced except Virtual-On OT: 200 yen a go. But there was a good selection of stuff: Sky Target, Manx TT Super Bike, OutRun, OutRun 2, Daytona USA, Scud Race.