Outside of the major players (Tate, V&A, RA) this is probably the best programmed gallery in London

The Premises is cozy café attached to a recording studio in Hackney (frequented by Nina Simone, Al Green and Jarvis Cocker over the years.) Lovely people serve up tasty breakfasts and Turkish food in the evening.

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

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

In terms of materials and form, these galleries offer so much. On an abstract and typographic level, so useful. This is a section of an altar frieze, from the Eye Temple at Tell Brak (N.E. Syria), dated 3300–3000BC. The Egyptian rooms take the tourist weight; these spaces are much quieter and amenable time spent drawing and thinking.