Let's start by saying that I'm a huge fan of the original foreign language version of this film. Some time last year, I stated that it was the best thriller I've seen since Silence of the Lambs. The American version still holds true to the same statement. David Fincher once again scores with a movie that nails the same tone and vision but builds upon the already released cinematic film.
Some folks were upset that they were "remaking" the film. In this rare instance, I will defend their motives. This retelling makes the tale of Lisbeth much more accessible to the English speaking masses that are far too lazy to watch a subtitled film. Fortunately, it's such a great piece of fiction that I can fully understand their reasoning.
I found the portrayals of the characters to be extremely similar to the original version. At times it was a bit distracting but I got over it quickly. The portrayal of Lisbeth is almost inter-changeable between Mara and Rapace. However, I think Rapace was slightly more believable in the role. Mara appears too soft in several spots. But, that could also be my preconceived notions of her from past movies.
If you're a fan of the book, see it. If you're a fan of Trent Reznor and his astounding soundtrack work, see it.