I love the Brixton markets, they are about as far from the food aisle of any multi national supermarket as you can imagine. One minute you can be in Thailand, then Jamaica via Turkey the next. Franco Manco is pretty busy, but it’s very special to me.
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.