The V and A houses a public collection of prints and drawings of every kind imagineable from old master drawings to photographs, playing cards, fashion plates and wallpapers. You have to select what you want to see from the collection http://collections.vam.ac.uk/and book in advance. The behind-the-scenes route up to the study room of v and a is a treat alone (pictured)

It's a beautiful place and the food is amazing.

Outside of the major players (Tate, V&A, RA) this is probably the best programmed gallery in London

A gallery with a great program of young emerging artists

Amazing small plates restaurant near Newington Green in a old car showroom.