The Wellcome Collection is a free museum and library, mostly dealing with medecine and social history. The exhibitions are unusual and engaging, and the permanent collection includes bizarre items such as medieval masks and human remains.
A special place, a shop which is like a museum, worth popping in to feel the humanness and heritage of London. And if you are looking for rope, compass or any sailing supplies, this is the place. There is no shop like it.
Getting lost is an age old suggestion but a good one. Put away your cell phone or your A-Z and just wander around. I still do this regularly even though Ive lived here for nearly 10 years. London is a big city and it drip feeds you its secrets sometimes. You will come across things you wouldn't usually, in amongst the Starbucks and pret a mange there are some amazing sights. Just 'being' somewhere is a great experience and one no guide book can help you find.
One of the most special pubs in London, not so much for the place itself but rather for the crowd you will meet there; a mixture of locals, art students, passers by and weirdos. A place to feel at home and share a beer with the staff and/or the landlord (Paul).