Whatever the belief system or whoever they're dedicated to, shrines have a way of making you contemplative. Check out Nishiki Tenmangu and share a peaceful moment with the locals.
You'll soon see why this Central Kyoto sacred place is popular with travelers. If you're looking for other things to keep you busy, Kiyomizu Temple, Nijō Castle, and Kyoto Imperial Palace are in this area as well. They won't take long to get to from Nishiki Tenmangu.