I used to live in London. Everything is worth seeing. If you are there for 5-6 days buy a week travelcard (you can get them at most underground stations). It gives you unlimited travel on the underground, London overground, buses, etc. Its pretty cheap considering, and well worth the money.
If you have a phone, download citymapper, it will tell you how to get anywhere, which underground stations to use, etc.
If you have a phone, download citymapper, it will tell you how to get anywhere, which underground stations to use, etc.