Just down the road from where I live is this Art Deco cinema where mainly locals go. Watching films and sitting in this old theatre really adds another level to the experience.
Hotter than hell, but always a good night had. It can be whatever you want it to be - restaurant, pub, or club, has good outside space and rentable rooms, and plays an interesting mix of music to an interesting mix of people. The building is actually kinda beautiful too.
Great little independent bookshop in central London run by Tamsin Clark. Weird and wonderful selection of photo books, magazines, artist books, poetry and more.
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.