I haven't been there myself yet, but I think you should try The London Eye, you have a pretty good view from up there.

Also, I think you'd enjoy Neils Yard in Covent Garden - if it still exists.

You must go for a stroll along Kings Rd. Take some time to explore it all, there are really very special shops and cafe's.

The tube is a really good and fast way of getting around - although it's not that cheap to travel in the UK anymore. I've heard that the original red buses have all been changed, so they have doors now - what a shame!! It was so nice to be able to hop on and off whenever they stopped. There must be some left!

I'll try to think of more places and sights to see.