Sounds wierd but to get the most of of London, avoid the tube. Instead use buses or, preferrably, walk - you'll see so much more of the city and the distances are shorter than you might think. For example, I really like the whole of the newly done-up "south of the river" area but this area is not well serviced by the tube. Here's an itinary, for example: start with a pint in the George on Borough High Street. Head towards London bridge but don't cross it - turn west keeping as close to the river as possible. There's a kind of "trail" with pedestrianised sections, cobblestoned lanes, etc. During your walk there are loads of reasons to stop - not only lots of great pubs and restaurants but stuff like Borough Market, Southwark cathedral, the reconstructed Globe theatre, the Tate modern, the Clink, old sail ships, etc. You'll also get great views of London across the river. Eventually you'll reach the South Bank complex - great for movies and plays if you want a bit of culture. At that stage you can cross the river, if you want, and walk up to the West End - Covent Garden is only a 10 minute walk - and doss around there.