I prefer to drink a "Franziskaner" (often sold wrongly as "Cappuchino" in some Kaffeehäuser while being the same as a Franziskaner) or a "Kapuziner" sometimes also an "Einspänner".

Franziskaner (Melange with whipped cream)

Kapuziner (double Mocca with whipped cream)

Einspänner (the absolute highlight, a mocca with extra large portion whipped cream and with luck special powder sugar)
You see I am a whipped cream fan

, but when I happen to look at my budget I also buy from time to time only the minimal version of coffee, a "kleiner Brauner". Not much more than a shot of coffee (served with milk), but if you primary aim is to read all the tons of newspapers it might be your choice too.
PS:
Those pictures are astonishingly near to what you get served there.