To unlock this achievement you simply need to watch any ten original TV Show from the FX library. You do not need to watch the entire show and can fast forward to the end of the show to pop the achievement, but you will need to connect the app with your Cable TV provider.
To add to MarvzMitts' solution, it should be noted that you can use the same show/episode over and over for this. It does not need to be 10 separate shows.