Maybe an obvious choice, but the Barbican is always good. My favourite space in there is the curve gallery, last time I went was for Cory Arcangel's 'Beat the Champ'. I love the architecture, although not many people do. I think it was voted 'London's ugliest building' in 2003.

Award-winning restaurant and creative hub. Introducing great chefs from a variety of countries and cuisines.

Beautiful gallery just off Bermondsey St, I've never been disappointed by what I've seen at White Cube

6a architects transformed the six-storey building at the corner of Redchurch Street into a multidisciplinary space. A shop, a gallery, a restaurant. 

Love to visit this place at least once every couple of months, can't afford most of the stuff but at least I can take a picture of myself wearing just for a few seconds this beautiful Comme des Garçons Mickey Mouse Hat!