As someone who hasn't played any of the original games and never wants to (that "pizza dance" cut-scene in DMC3 is the worst thing I've ever seen, which resulted in a quick killing of my interest), I really enjoyed the hell out of DmC.
If someone told me I'd end up liking DmC better than GoW: Ascension, I would have called them crazy. But now after playing both, I feel that the former is an excellent game with incredible art design, simple but enjoyable combat, strong voice acting, and excellent pacing, while the latter is a complete snooze-fest saved only by it's opening and closing boss battles.