UK movie website Den Of Geek has a pretty thorough review of the Cloverfield Two-Disc Special Edition Region 2 DVD, which will be available June 9th.
• Cloverfield 2-Disc DVD Rreview
• Clover Eggs: A complete cheat's guide to the Cloverfield DVD Easter Eggs
In a nutshell, the R2 DVDs combine all of the features and extras of the Standard R1 DVD, but spread over two discs. However, there are a few bonus extras:
"Disc 1 contains the film with a commentary by director Matt Reeves ... and also has a special feature you can turn on or off where, throughout the movie, the battery life icon appears onscreen, and if you click it, you get to watch an extra mini behind-the-scenes features... After each featurette is over, the DVD returns you to the film.
The behind-the-scene videos are the same ones that can been seen on CloverfieldFiles.com, but there is no puzzle to solve before watching them! I suspect this is probably how the Blu-ray disc will work as well. The first disc also contains the "Supplemental Files" easter eggs.
The second disc contains all the other standard R1 extras and Easter eggs, plus a few new Easter eggs titled "Not Without My Baby". These short clips feature some improv from TJ Miller and Lizzy Caplan, and appear to have come from the Best Buy exclusive TJ Miller Video Diary.
* Thanks to Sarah at Den Of Geek for the review!