Here are some of them
- Museum of London http://www.museum-london.org.uk/ based in the City, near the Barbican.
- Science Museum in South Kensington
- Natural History Museum
- Victoria and Albert Museum
- The British Museum
- [Museum of Childhood]?
- [Toy Museum]?
- Tea and Coffee Museum
- [Imperial War Museum]? http://www.iwm.org.uk/ in south east London.
- RAF Museum Part of the [Imperial War Museum]? based in Duxford.
- Canal Museum
- [Horniman Museum]? http://www.horniman.ac.uk/ in south east London.
- The Saatchi Gallery | http://www.saatchi-gallery.co.uk | in Chelsea
(Some of the above can be found mentioned here )