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.
The Royal Park offers great views of London and the city; As well as housing the Royal Observatory which includes a museum of astronomical and navigational tools, part of the National Maritime Museum.
I discovered this hidden gem by pure chance when i explored the area in one of my lunch breaks. Rochelle Canteen is hidden away behind the walls of three former victorian schools on Arnold Circus in London's Shoreditch. The atmosphere, upon entering the ground, is relaxed almost tranquil. The canteen itself is situated in the old bike shed and the kitchens' size almost belies it's output. The food is distinctively modern British; run by Arnold & Henderson, a household name of britisch cuisine. The guests are local creative types so that the atmosphere is more relaxed then anything else. In the summer you can also sit outside.