The most famous German surface warship to survive WWII was the heavy cruiser Prinz Eugen, studied by the US Navy after WWII and then expended as a nuclear target.
The only large WWII German warship to see active duty in its intended role during the Cold War was the light cruiser Nürnberg, which served on in the Soviet navy.
(The light cruiser Nürnberg of the WWII German navy.)
(The Soviet light cruiser Admiral Makarov, the former Nürnberg, during the mid-1950s.)