Great little cinema, hidden away in the basement of Aubin & Wills, London. Not exactly a fan of the brand but the cinema is pretty awesome. They show a variety of interesting films and have probably the comfiest seats including armchairs and sofas. Bit dear, but one of the best cinemas I've come across.
It's a members-only library but you might be granted access with a research request. The writer's room is great but there's a few special, hidden corners among the bookshelves to tuck yourself away in.
One of the few remaining bastions of alternative Soho, The Crobar is a metal bar which attracts a friendly crowd and serves a top selection of beer and whisky
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.