I'm a great fan of Stieg Larsson's Millennium Trilogy and already own his works in hardcover. I knew of this set because my friend (an avid fan of Larsson's works) owns it (purchased online). However, I decided to purchase the other deluxe boxed set instead as it is more cost effective. The differences between the two sets are as follows:
The publisher for this set is Maclehose Press, London (2010). This set consists of four volumes, and besides being more expensive, the major difference between this set and the other slip-cased set is that this set has a poster of 16 different dust jackets of the trilogy published around the world. Each book in this slip-cased set has gilt titles on the spine, and a gilt dragon on the front boards.
The other slip-cased set (which I purchased) consists of four books in a beautiful slip-case. The four books are The Girl With the Dragon Tattoo, The Girl Who Played With Fire, The Girl Who Kicked the Hornet's Nest, and On Stieg Larsson. The three novels are cloth bound (no dust jacket) and have beautiful, unique engravings on each. There are also unique features such as maps and full-color endpapers. The book titled On Stieg Larsson consists of essays which have never been published before as well as correspondence with Larsson who died in 2004.