If you aren't doing Fuji and you want monkeys and mountains, this is the place. If you go, you also need to visit the Takao-san Monkey Park.
Kyoto – Kiyomisudera
The most famous temple in Japan.
For all your feeding deer and reclining Buddha needs.
If you only see one Buddha, make it this Buddha (or the other one above). View on http://www.sacred-destinations.com/japan/kamakura-great-buddha
Go for the greenery - stay for the Goths. http://www.japan-guide.com/e/e3034_002.html
Famed Golden Pavillion may be a travel cliché but it is breathtakingly beautiful. www.japan- guide.com/e/e3908.html