Some of these movies have sensitive material so please watch at your own discretion.
I suggest going to their IMDB page beforehand.
Chronicle — This one is a personal favorite
The Blair Witch Project (Meh)
Quarantine / Rec / Rec 2
Megan is Missing
Paranormal Activity    
The Garlock Incident - Can’t find a link for this
The Last Exorcism
As Above So Below
The Fourth Kind
The Poughkeepsie Tapes
Alien Abduction:Incident in Lake Country
Let me know if I’m missing some good ones. As time passes, some of these links will expire. Message me if they do, I’ll try to find some new ones.