If you consider the places in the immediate vicinity of Shinagawa Prince (5-10 minutes by taxi), then you can recommend:

Hatakeyama Memorial Museum of Fine Art - museum dedicated to the tea ceremony, closed on Mondays

Tokyo Metropolitan Teien Art Museum - building and its garden, the former residence of Prince Yasuhiko Asaka in the Art Deco style. Closed on the 2nd and 4th Wednesdays of each month

Art Museum - Museum of Contemporary Art, located inside Ohsaki New City. Closed on Thursdays

In Tokyo, there are many different arts and galleries. Here are some of them:

1. Center for Contemporary Art Maruhachi Warehouse Building. It is located in the building of the former warehouse, without special identification marks - in the best traditions of modern art. Several galleries with expositions of contemporary artists and photographers are concentrated under one roof.

2. Mizuma Art Gallery, specializes in Japanese and Asian little-known underground artists.

3. SCAI the Bathhouse - the most progressive artists of the world are exhibited here, and the gallery itself takes an active part in all major world art fairs and the Biennale