@oralloy,
Actually, we've got what in English as called a "mixed-member proportional system", in the federal parliament elections and for most state parliaments.
The pure proportional representation system was used in the Weimar Republic (since 1919).
The President of Germany, who is the head of state of Germany, is elected by a specially convened Federal Convention which mirrors the aggregated majority position in the Bundestag and in the parliaments of the 16 German states.