I can't pass without dropping in, Orcs Nest is a small independent boardgame, D&D etc store that's been around forever(1987)... and has the best logo. Good selection of games for younger kids too.
Aside from the excellent cultural facility's the Barbican Centre has to offer, ranging from theatre, art, music and dance. The space outside the Centre holds personal value in its ability to evoke nostalgia of the Emerald City, in the slightly disturbing film 'Return to Oz'. I enjoy residing by the fountains, where I draw, read books and feed ducks.
The St Bride Foundation is the home of the St Bride Library, an incredible resource of printing history, in the form of books, printed ephemera, and tools from the trade. It also hosts many fantastic talks each year – check their website for details.