Friday 17 October 2014 2.17pm
How about the recently opened - former public toilets - Bermondsey Arts Club, 102A Tower Bridge Road
? I've not been but know one person who has been there on a night out and another who has been several times and both talked highly of it.
I have no idea if they do hiring out and I know it's not on the doorstep of a tube stop (although, having just Mapsed it, you can get a bus from either Borough or Bermondsey tube station and be there in 10 min) but I think it hits the quirky/trendy mark! :)