I'd say that the difference between Cloverfield and Star Trek or Dark Knight or Quantum Solace is that you sometimes have a third person perspective in the latter movies, of course nothing as extreme as a narrator but you get things like e.g. a hovering camera or some narrative distance to the characters.
Cloverfield on the other hand is totally zoomed in on its characters and can't work any other way. After all the purpose is not that you understand anything as viewer but share the confusion and fear of the characters (which are pretty flat and this is in my eyes the main weakness of Cloverfield).
A sequel might move in more conventional monster movies waters.