"The Huntarian and Soane's museums are pretty much opposite each other, and a 20-25 min walk from the British Museum. They make a great combination as they are both really unusual but in totally different ways! Around Lincoln's Inn are lots of historic buildings (the Inns of Court and so on) plus the fields themselves are a pleasant place to eat lunch and have a fairly upmarket cafe/restaurant.
They make a good combination for a day out in London and are themselves very close to Covent Garden for lunch/dinner.
They are my favourite London museums!"