Interesting analysis by SceneCraft:
(For once, the comment section actually has some good insights… people are clearly passionate about which version they like better, and the reasons behind why they think it’s better.)
And here’s a side-by-side compilation:
It has to be noted that the above isn’t an entirely fair comparison. The compilation only shows selected shots, without showing the context of each shot, or what came before or after it. It merely takes the most similar looking shot in each scene, and juxtaposes them together. While this is still a useful tool to compare some visual differences, you can only truly compare the films by watching them one after the other.
Addendum: an interesting look at the unusual five-arc structure of The Girl with the Dragon Tattoo: