Other houses with historical interest - among many - are:
An interesting juxtaposition between musical styles - a house near Bond Street that was the home, several hundred years apart, of Handel and Hendrix. That's George Frederick Handel and Jimmy Hendrix.
Carlyle's House in Chelsea, Victorian with of course the literary associations
2 Willow Road in Hampstead - 1939 Modernist
Fenton House and Garden, also in Hampstead, 17th Century, especially if, like me, you like old harpsichords and spinets which are often being played, and exquisite porcelain
Red House in Bexleyheath, Arts and Crafts home of William Morris, the centre of Pre-Raphaelite arts
Shaw's Corner, in suburbia, Welwyn, the home of George Bernard Shaw
and if you want to go big -
Osterley Park and House in Isleworth in West London, Georgian
All the above except for the Handel/Hendrix house are National Trust.
And maybe Ben Franklin's house near Charing Cross.
Or Ben Johnson's house just east of there - he of the dictionary.