A Dame for a Kill is actually built around two stories. The first is the settling of scores from the original movie between primarily Nancy and Senator Roark. The second story is a new one following the beast and seductress plot staring Eva Green and Josh Brolin as Ava and Dwight. Both stories are joined together a character that became a favorite in the first movie, Marv.
That said, the new addition is just an okay movie. Where the first movie had a dark edge and dark humor that permeated from most of the stories, A Dame for the Kill, while still having some of those moments, is often just violent. Where the first movie had stilted language and over-the-top delivery, A Dame for the Kill has the same stylized deliver but too often the dialog was not just stilted but incredibly trite.
There is nothing really new about the stylized special effects photography that was the one of the big attractions of the original. There are even a few places that it is even over-done. I suppose the biggest problem is that we have seen this movie before. There is nothing really new. It is also well deserved of its "R rating." It is violent and has no shortage of nudity. Overall, Sin City: A Dame for a Kill is only okay. Nothing really new to see.