For those interested in asian art, the Met currently has a great exhibit of Tale of Genji inspired objects and screens. Also, would like to add the Liang Yi museum and the Hong Kong Museum for those into ceramics and furniture, as well as the National Palace museum (Taipei) and Palace museum (Beijing), and Shanghai museum of Art. Must not forget the portguese Gulbenkian in Lisbon for its wonderful chinese scholar objects and ceramics too. Tokyo has the lovely Nezu museum of pottery and wonderful tea room.