Maltby & Druid street market
White Cube
Borough Market
Southbank isn't far
Barbican has the Basquiat exhibition on the other side of the river
The Kabakov exhibition opened recently at the Tate
I'm not great with that part of London but there's plenty on here that live down that way
They (me) in se1 somewhere. It's just over a weekend but it'd be fun to have some tips from the locals rather than just strolling around aimlessly.