Hatakeyama Memorial Museum of Fine Art
Hatakeyama Memorial Museum of Fine Art, or Hatakeyama Kinenkan (畠山記念館), is a private museum which exhibits excellent collection of tea utensils, paintings, calligraphic writings, pottery, lacquer items and Noh costumes from Japan, China, and Korea.
This museum was established by a successful businessman who also was a master in tea ceremony, and there are several tea houses on the grounds of the museum as well.
It's a 5-min walk from Toei Asakusa Line Takanawadai Station, or a 10-min walk from Toei Mita Line or Tokyo Metro Namboku Line Shirokanedai Station.
The collection itself is superb but the exhibition space is relatively small. As is often the case with museums, taking photos inside is not allowed so I cannot show you what it's like.
Ikedayama Park, or Ikedayama Koen (池田山公園), is a small public park with a Japanese stroll garden. This site used to be a suburban house of the Ikeda clan, the domain lord who ruled substantial part of modern Okayama Prefecture in the Edo period, though only part of it remains now. It's close to Hatakeyama Museum so if you are visiting the museum and have time, it may not be a bad idea to take a look at it.