First off these are TV episodes not films and they are the original and best like the front cover blurb says.
Before the American remake, before the Swedish movie cuts, came this, a TV mini series where each story ran over two epsiodes and each episode lasted 1.5 hours. Meaning each story is three hours long. Compare this to the movie cuts and it means The Girl With The Dragon Tattoo is roughly 28 minutes longer, The Girl Who Played With Fire is roughly 56 minutes longer and The Girl Who Kicked The Hornets' Nest is roughly 37 minutes longer and staff credits don't take up much of this time.
None of the additional material is irrelevant to the story as a whole and in some instances introduces whole new sub-plots (to the filmed versions anyway). Hornets' Nest, for the better, is nothing like it's theatrical release.
Accepting this as a TV mini series box set I only have one gripe and that is that the incidental music is not as exhilerating as in the movie cuts. One example is when Paulo Roberto chases Niederman in his car. In this the music is quite subdued, in the movie cut the music is absolutely raucous!
This is the fullest Stieg Larsson visual experience you can get but obviously the whole Stieg Larsson experience can only be gotten from the books.
This franchise is unique for me in that I own and have read the books, own all three theatrical cuts and now own the extended versions.