I recently saw new David Fincher version of The Girl With the Dragon Tattoo in theaters. I highly recommend it. Given the option between seeing the American verison in theaters or the Swedish one on Netflix, you should drop the money to see it in theaters. Among other reasons, this is the kind of smart, sexy, grown up movie we want to see Hollywood make, but only stupid schlock for kids makes blockbuster money. Send a message to Hollywood, pay some money to see this movie.
After I got home, I watched the original on Netflix. The acting is perhaps better than the American version, and the direction is good (but its no David Fincher). Also, bonus, there's three of them. Generally I don't mind subtitles, but because the action moves so fast in this movie (which is a great thing), there were a couple of times I had to rewind to catch some dialog. The movie is different enough from the American version that it wasn't a waste of time to see them both.
The first movie was better than the sequel (The Girl Who Played With Fire), but #2 was still very entertaining. The acting and script were tight and gripping, but not as "edge of my seat, come home from the theater and watch it in Swedish" gripping as the first one. I haven't watched the third one yet.
A+ for the Fincher verison of Girl With the Dragon Tattoo in theaters. A for the Swedish version. A- for The Girl Who Played With Fire.