Photo: 663highland, CC BY 2.5 via Wikimedia Commons
A former sub-temple of Jingoji. While it is not worth making a special trip to see this temple, those touring the Takao area might as well visit, as it is located on the path connecting Jingo-ji to Kōzan-ji. The bridge leading to the temple and the lanterns outside the entrance are quite nice.
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高山寺
Registered as one of Kyoto's 17 UNESCO World Heritage Sites, Kōzan-ji is a small temple dating all the way back to the Kamakura period. Inside the temple you'll find a famous painting of rabbits and monkeys acting as humans, considered to be the world's first manga.
仁和寺
Another large temple complex which is often overlooked by tourists. Admission to the grounds is free, except during cherry blossom season, allowing visitors to view the 17th century five-story pagoda, and the plantation of dwarf cherry trees (which are always the last to bloom in Kyoto, in early-mid April). Inside the former palace building (which admission is charged to enter) some beautifully painted screen walls are featured, along with a walled garden. In the hills behind the temple, there is a delightful miniature version of the renowned 88 Temple Pilgrimage in Shikoku, which takes an hour or two (rather than a month or two). This can provide a delightful end to a day of looking at tourist attractions.
龍安寺
Famous for its Zen garden, which is considered to be one of the most notable examples of the "dry-landscape" style. Surrounded by low walls, an austere arrangement of fifteen rocks sits on a bed of white gravel. That's it: no trees, no hills, no ponds, and no trickling water. Behind the simple temple that overlooks the rock garden is a stone washbasin called Tsukubai said to have been contributed by Tokugawa Mitsukuni in the 17th century. It bears a simple but profound four-character inscription: "I learn only to be contented". There is a fantastic boiled tofu (湯豆腐 yudōfu) restaurant on the grounds, which you should be able to find by following the route away from the rock garden and towards the exit. It is slightly expensive, but serves delicious, traditional tofu dishes. There is also a small cafe, serving food including vegetarian yudōfu dishes, from 11am to 3pm. The rest of the grounds are worth a look too - particularly the large pond.
金閣寺
The Temple of the Golden Pavilion, formally known as Rokuonji (鹿苑寺), is the most popular tourist attraction in Kyoto. The pavilion was built as a retirement villa for Shogun Ashikaga Yoshimitsu in the late 14th century, and converted into a temple by his son. However, the pavilion was burnt down in 1950, by a young monk who had become obsessed with it. (The story became the basis for Yukio Mishima's novel The Temple of the Golden Pavilion.) The beautiful landscaping and the reflection of the temple on the face of the water make for a striking sight, but keeping the mobs of visitors out of your photos will be a stern test for your framing abilities. Get there early if you can to beat the school groups. Visitors follow a path through the moss garden surrounding the pavilion, before emerging into a square crowded with gift shops. It's only a short walk from Ryōan-ji (below), making for an easy pairing (and study in contrasts).
今宮神社, Imamiya-jinja
Although the current structure dates back to 1902, the original was built during the Heian Period. At the time, the city was being plagued by illness and disease, so Imamiya Shrine was built to appease the gods. Even today, many visitors come to pray for good health and to ward off illness.
大徳寺
A large temple complex, boasting many smaller sub-temples within its grounds. Daitokuji is the quietest of the temples in north-western Kyoto, and if you visit it at the start of the day, you could virtually have it to yourself. 8 of the 24 sub-temples are open to the public (most days 09:00-17:00), and each charges an admission fee (around ¥400). The most popular sub-temples are Daisen-in (大仙院), located on the northern side of the temple complex, which has a beautiful Zen garden, along with delicious cinammon sweets that only this temple has rights to sell and produce (you can sample one if you get the tea or buy a pack for ¥700), Kōtō-in (高桐院) particularly noted for its maple trees, which are beautiful in autumn, if you don't mind the crowds, and Hōshun-in (芳春院) which features the same architectural style as Kinkakuji and Ginkakuji Temples as a backdrop to the elegant bridge over a pond.