In turkish grocery stores, you can obviously find lots of turkish grocery, but they are also selling arabic products.
In Potsdamer Strasse near U-Bahn station Kurfürstenstrasse, there is the Nazar market.
The Nazar supermarket offers lots of fruits and vegetables on the street.
Inside, there is a meat counter where they sell every kind of meat and edible internal organs (hearts of chicken, liver etc…). Of course, they don't sell pork.
Right between the U-Bahn stations Wittenbergplatz and Nollendorfplatz, there is the Bolu market.
The Bolu market in Kleiststrasse just opened in summer 2017 and I never really had the chance to go there. If you have been there and would like to share your impression, don't hesitate to register and write about it!