Inspired by the plot and dedicated to making a fanfilm based on the series, gaming filmmaking group Manifest Films have created a pretty good homage series that they call "What Remains", which is set in the same world and universe as "The Last Of Us". The pilot episode was just released, and introduces us to two characters that meet for the first time and find themselves in a situation that sees them having to work together and trust each other in order to survive.
Clocking in at 18 minutes, this is a pretty good fan film, straight from the official "What Remains" website. Much like zombie shows like The Walking Dead, this is pure survival horror at its finest. Watch and be warned... Not for the faint of heart.
For more information, visit the official "What Remains" website and the source post at Kotaku.