Of all the temples in Kyōto, Kōryū-ji is the oldest, dating back to the 12th century. It also houses the Miroku Bosatsu, the first item in the nation to be designated a National Treasure.
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東映太秦映画村, tōei uzumasa eiga mura
An active film studio built by the Toei Company, one of Japan's largest entertainment companies. The highlight is the backlot with recreated Edo-period streets, where many period dramas (時代劇 jidaigeki) were filmed, and continues to be in active use so you may catch a filming session going on if you're lucky. Also has many shows and exhibits about filming techniques, as well as plenty of activities to keep the kids occupied, provided of course they can speak and understand Japanese.
This shrine is oddly dedicated to gods of both easy delivery and sake, because it is believed that the goddess Saketokekono was so delighted at the birth of her son that she made and drank sake. In addition, the stone to the right (upon entering) is believed to ensure pregnancy to any woman who steps over it, as a former Empress originally who was originally thought to be barren got pregnant after stepping over this stone. Along with a plethora of folk beliefs, the shrine is also a popular place to view flowers in the summertime.
松尾大社, matsunoo-taisha; nickname: matsuo-taisha
A shrine that's rarely visited by foreigners, Matsuo Taisha (as it's more commonly known) is a popular place for sake brewers to pray. The shrine existed prior to the establishment of Kyoto as Japan's capital and later received offerings from the Heian court. The shrine is famous for its water, said to be pure, as well as its interesting gardens and landscape.
渡月橋
This picturesque bridge spans the Hozu River, which usually has a healthy and fast current of water in it. Please note that the sidewalks are one-way.
法輪寺
One of the five head Shingon temples in Kyoto. The Boddhisatva Akasagarbha is enshrined in this temple. The complex offers a nice view of Kyoto City. The lights here are quite beautiful during the autumn Kyoto Light-Up.
A great place for those looking to get away from the abundance of temples and shrines in the city, feeding the macaque monkeys atop the mountain is worth the entrance fee (and the demanding 20-minute climb!). Don't bring food up with you, though - peanuts and apple slices are on sale inside the shack on top of the mountains, and the monkeys are well aware of it. There's a pond next to the shack, and the monkeys seem particularly fond of the keeper's motorcycle, which is usually parked there. If you manage to pull yourself away from watching them, the mountain has a nice view of Kyoto as well.