You have several ways to visit London. You can relax yourself walking through the many parks, unique for a big city like it is, you can go for the majestic monuments, you can experience the West End musical life, you can stay a whole day in Trocadero, you can go around the street markets like those in Camden town and Portobello Road, enjoying the street artists in Covent Garden or sitting on a stool at the Globe Theatre during a Shakespearian play.
But there is a very interesting way to live London: it is through literature, I mean, visiting the places where writers lived and wrote their works.
London's Dickens is one of the most attractive experience you have to live to better understand what you have read in the short-story A Christmas Carol
Here you can watch the last clip taken from the musical about it.