photos here taken by another blogger on JapanTravel.
Official website (Japanese only): http://www.kinchakuda.com
You can also hike at Mt Hiwada later if you have time.
Masahi Kishakyougi Taikai 馬射戯（マサヒ）騎射競技大会 (Mounted Archery Contest)
Alishan Organic and Vegetarian Cafe
They are only open from Thur-Monday (11:30~18:00, Sat till 21:00) and closed on Tuesdays and Wednesdays. They are also pet friendly and many locals bring their dogs over as well.
Official website: http://alishan-organics.com
Komajinja (Koma Shrine) 高麗神社
Entering the shrine is free.
Official website (in Japanese): http://www.komajinja.or.jp
Shodenin (Shoden-in Temple) 聖天院
It is less visited than Koma Shrine but much bigger and more things to see (maybe because it is a temple for cemetery).
If you climb even higher, you can see the memorial tower that appeases the dead.
Like many shrines and temples that are less visited, they close at 5pm. The temple do not have any official homepage.
Soy Sauce Kingdom 醤油王国
To get here from Tokyo: Take Tobu line from Ikebukuro, around 1.5 hr to Nishioya station. Alternatively another station nearby is Komagawa station. But both will need you to walk for 25-30min, so the best is if you rented a car.
They are open 9-5pm everyday (including weekends and public holidays) except during new year holiday.
Official Webpage: http://yugeta.com/english/kingdom.htm