The second coffee shop has to be Kaffeine. Having only recently come across this one, I was certainly impressed and they may even have the best coffee I've had, since a short stay in Portland, Oregon.
I love the George and Dragon Public House. Cluttered deco of silly artifacts and memorabilia and slightly scuzzy around the edges. Great drinking characters, DJs and The White Cubicle gallery in the ladies toilets is difficult to beat.
Key community arts centre, near to Shoreditch High St station. The cinema is handy and the music programming is solid, but they also host a variety of other interesting nights, most notably Jawdance, London’s (arguably) best spoken word night