I love the idea of telling the same story from a completely difference angle. The Walking Dead is set to do it with a completely new side by side series (think where other people  doing while our current crew was battling the governor).  The new "Purge" movie does that.

YouTube/The Purge

This Purge movie takes the perspective of a young couple stuck out in the opening when the Purge commences.  It looks a little bit like the previous Purge movie meets the classic flick "The Warriors".