It's called Altbau and is usually combined with Blockrandbebauung, which the other commenter mentioned. I don't understand why this style hasn't seen a comeback yet.

Its most charming qualities are high ceilings (3-4 meters), historicist ornamentals / stucco, natural ventilation (Fugenlüftung), wooden flooring and boy-type windows. All of these increase quality of living substantially and I wouldn't want to live in any other kind of building if given the choice.