The Hakone open-air museum is worth a visit if you like both a good scenery mixed with nice art. The museum have booth famous international artists such as Picasso as well as famous Japanese artists such as Taro Okamoto.
As it is located in the Hakone mountains, it provides a rather good view of the hilly surrounding, mixed with sculptures and other art things. There are also smaller in-door exhibitions available.
How to get there
From Tokyo, start with transferring to Odawara. The fastest is to take Shinkansen , though you have to expect the double cost. If not taking Shinkansen, Tokaido line to Odawara is recommended.
From Odawara, take Odakyu line (or Hakone Tozan Railway) to Hakone Yumoto, where you need to change to Hakone Tozan Railway to Chokoku-no-mori station. The museum is within walking distance.
From Tokyo, go to Shinjuku (multiple options). From Shinjuku, take the Odakyu Ltd. Express to Hakone Yumoto, where you need to change to Hakone Tozan Railway to Chokoku-no-mori station. The museum is within walking distance.