A place where I spend some time almost everyday is the Marheineke Markthalle on Bergmannstraße in Kreuzberg. It's just around the corner from where I live and a great place to buy fresh food and products from local farmers or all kinds of delicatessen from different countries. Many market stalls also sell freshly prepared food and it's always busy at lunchtime. For saturday mornings try the original french croissants.
It is an English language bookstore centering on non-western, diasporic, and queer perspectives.
Many many many rare and special books carefully selected by Siddhartha Lokanandi that is the soul of this place! Check it, it is unforgettable :)
I never knew this neighbourhood existed and went to visit a friend and was instantly transported out of Berlin into some sort of 50's utopia.
"The Hansaviertel is a prime example of modern architecture and urban planning in the fifties in Berlin.
36 individual buildings or ensembles still form the model of modern architecture and urban planning of the 1950s. The southern part of the war-damaged Hansaviertel, which lies between the S-Bahn line and Tiergarten, was chosen as the central demonstration area of the International Building Exhibition in order to present the "city of tomorrow" - in deliberate contrast to the East Berlin Stalinallee and the restored tenement barracks." - berlin.de
Also visit The Akademie der Künste, if not for the art then the architecture alone.