You should definitely visit here for Yabusame held in the beginning of May and Mitarai Festival in the late July.

Yabusame ( Samurai Archery ) is a type of mounted archery in traditional Japanese archery. An archer on a running horse shoots three special "turnip-headed" arrows successively at three wooden targets.This style of archery has its origins at the beginning of the Kamakura period. Minamoto no Yoritomo became alarmed at the lack of archery skills his samurai had. He organized yabusame as a form of practice.

Mitarai Festival is another way called foot bathing ritual. You wade through a water path flowing through the sharine holding a candle to purify your feet. This area where the water path is flowing is called Mitarashi Pond and you can enter this pond only during this period. It is believed that you will be blessed with protection of god if you take part in this ritual during this period. ( Originally it was held to fight against plague of ancient times.) The charge is 300 yen and you will be given a candle to dedicate to the shrine. The water is very cold and so refreshing during this season of intense heat. After this ritual you will see a Mitarashi Dango ( a type of wagashi with mochi on a stick with soy sause based sause ) stall selling Mitarashi Dango. It might be a great choice before you leave the place. The event starts at 17:30 and finished at 22:00.

( Trans-word+ : TGM Kyoto Guide )