Book a show, on second night
,
the London eye,
The Tower of London and the Crown Jewels.
The changing of the guard ( free),
Madame Tussaud's if you like waxworks.
Natural history museum if you like natural things, or the
Victoria and Albert museum if you like culture.
British museum if you like archeology,
Harrods, and also Oxford street for shopping.
Trip on the river.
It depends really on your interests and ages of the party of visitors.
When you know what you are interested in then the travel part can be worked out. The on off bus is good as our the dedicated bus tours.
It may be that as a resident we have one idea, and others who have visited may have better ideas. Good luck with it all!