Kinkakuji is one of Kyoto's most popular tourist destinations, featuring a temple decorated with gold leaf.
Another popular tourist destination - walking through this bamboo grove is a peaceful experience and great for photographs.
For those who want to walk around a neighborhood with a traditional feeling - a good place to shop for souvenirs, as well.
Fushimi Inari is a shrine in Kyoto famously known for it's 10,000 torii (gates) that visitors can walk through. Make sure to wear comfortable footwear if visiting; it's a fair amount of walking.
Nara is most well known for its large population of deer. You will be able to purchase biscuits to feed to the deer in Nara Park.
There are plenty of spots to hit in Osaka for those who want to take a day trip from Kyoto (Osaka Castle, Dotonbori food strip, Universal Studios Japan, etc.). Feel free to do your own research and schedule a trip if you're interested!