text: The previous answer mentioned Gross Deutchland, which was a regular army Wehrmacht elite division, not SS.  The answer is either the 1st SS Leibstandarte Adolf Hitler, 2nd SS Das Reich or the 3rd SS Totenkopf divisions, always given the best men and not necessarily the newest equipment by the ReichsFurher or Furher.  Of these 3 classic SS divisions, i'd pick the 1st at the most proficient, only because they bore their leader's name.  I couldn't name the battles they were in, but they were all used as the 'fire brigade' on the eastern front against the massive Red Army onslought.