You can take a look at this website for weird things to go see.
It features Yokai (Monster) street, a temple with a rope made out of human hair (gross, I know), Nishiki market where you can find lots of different things to eat (e.g. baby octopus), etc.
http://www.atlasobscura.com/things-to-do/kyoto-japan/places#geo-places-row-3