I was in the Smoke today. Went in by train to Victoria Station. Hopped in a taxi. Went past Buckingham Palace. There is a tour around it, these days, if you want to see how the obscenely rich can live. Actually, it is reckoned to be a good experience.
Then went up Park Lane to Marble Arch. Oxford Street starts there (or ends, depending on your point of view). That has trillions of shops. My wife has dragged me into every single one of them several times over since she moved here from the USA.
Went up Edgeware Road and into ChapelStreet to see a client. They have a very tall glass building (14 floors). At the bottom is a life-size bronze statue of a window cleaner, with his ladder over one shoulder. He is staring up at the top of the buidling with his jaw flapping in amazement. Truly funny!
After seeing the client, we went onto the underground. That's the world's oldest system, I think. We crossed from this west side of London over to the east side, near the Tower of London. There are tours within that, so you can see the Crown Jewels etc. Tower Bridge (with the roadway that opens to allow ships past) is nearby (see photos above).
Not too far away is the London Dungeons. There you can spend a gruesome hour or two, marvelling at the inhumanity of people to each other.
Just a tiny taste of some things you can do.