According to www.themovieblog.com, someone has figured the riddle that is JJ Abrams movie. It talks about the movie having 3 monsters. The first monster is Behemoth, which is an unconquerable monster of the land. Next we have Leviathan which is the primal monsters of the waters and the sea. Finally the third monster is Ziz, the primordial monster of the sky. They go onto explain that you can relate the monsters to the trailer. An earthquake relates to Behemoth, fire relates to Leviathon, and the flying Statue Of Liberty head is courtesy of Ziz. They also relate the 3 monsters to the 3 animals on slusho.jp not to mention the rest of the Web site. Say what you want it never hurts to have a theory. Here is a link to the full article.
http://www.themovieblog.com/archives/2007/07/jj_abrams_cloverfield_mystery_solved.html