There's a new Cloverfield movie already
The connection doesn't make a whole hell of a lot of sense if you think about it too much (for example a smartphone in the film clearly sets the action in modern times) but who cares- J.J. Abrams has said that he wants this to be an anthology series in the same universe with different unique stories. And that's fine.
Now, Abrams' production company Bad Robot has already wrapped on another film which will touch on this setting. The flick is currently under the title of God Particle, though that will likely change.