As Urfa is a city of pilgrimage, beer or any other alcoholic beverage is near impossible to get. Apart from that you're able to find any of the soft-drink brands sold in the rest of Turkey or stick to Turkish or Arabian tea which is sweeter or minted.
The section of Urfa just over the Karakoyun River houses a few small, simple bars and the local Turkish beer Efes can be purchased to take away from a very few small shops in that area. The few small bars are humble affairs, frequented by men and playing local Kurdish and Turkish music.
Drink "murra" in the Gümrük Han - this is a very strong 1/2 teaspoon-sized cup of coffee. It is not overly pleasant, but it is a local experience.
More welcoming to the palate is Menengic menen-gich coffee - this is made from a paste of coffee and Menengic beans, and gives the cup a sweet, nutty flavour.