If they made a cloverfield game I think it should be like Dead Rising. Heres what I came up with-

You play as Hud, and you start out at the party. The game would be centered around you as you follow Rob, trying to escape the city, only in this game you can defend yourself in stores and use weapons (Against the little critters that come off the monster). There would of course be side missions (rescuing other people).

As for the camera in the movie, I got the idea from Dead Rising, it should be like extra points or something that unlocks extra things.

The camera is used to capture interesting footage for people, as Hud was saying in the movie, that should know "What went down." The points are also for what the government would find interesting.

Depending on the footage you gather, you get different story alterations and endings.

Tell me what you think.