Let me first say that the Devil May Cry Anime did not come out how I expected, though that is not necessarily a bad thing. I started out with VERY high hopes and they took a severe blow when I saw the preview episode. Like most fans who had been waiting for something like this I was worried that Dante had turned into your typical stock type protagonist. I disliked the addition of new characters which I initially found incredibly annoying and I felt that they had chosen wrong when finding a voice actor. (I think I am one of the few who was not perturbed by the lack of fight scenes).
All I can say is that I was wrong. The first few episodes followed a similar pattern, but a main plot began to emerge towards the second half of the series and the character development was nice. It was wonderful to see the return of old characters and interesting to see how Dante would interact with humans (the guitar case as a sheath for Rebellion was a nice touch).
Tha animation was beautiful and I loved the character design. The OST is awesome and the characters who I loathed in the first episode grew on me as did Dante's new personality.
My advice is if you're a die-hard fan you have to take the anime with a pinch of salt. Yes it's not perfect and there are many things they could have done to make it better, but it also has so many good qualities which you will over-look pointing out the bad things. Watch it with an open mind and be prepared for a light-hearted (though it does have its dark points) piece of good entertainment staring your favourite Demon Slayer.