Have to admit, I like museums. One of my faves is the japanese gallery in the British.
The Museum of London is also wort a visit, though IIRC they've now moved, expanded and are at multiple sites. But BITD it was in the Barbican, and I went to school more or less next door, and so we went there regularly as part of history lessons.
I'm planning on re-visiting the British Motor Museum at Gaydon. I judged at a cat show there a little while back, and didn't have much time to look at any of the exhibits, so I want to go back and take my time. I also want to book some time in their archives to see if I can find out more about my Mini, as they have most of the production records.
I like a good museum too a favourite of mine is NRM in York particularly the workshops seeing machines, that magic smell of tap oil and all things engineering. It takes me back to being a young kid and my dad coming home and smelling just the same.
The British is full of so much stuff to see we need to go back as last time we never got round it all.
The docklands museum site is still open but The Museum of London is closed as your right it is moving to the site of old Smithfield market it's due to open at the end of the year. I watched a program about it they've found parts of the building that had been lost over the years. Which are now going to be added to the design.