You will need an Amazon Prime Subscription to utilize this app.Here is my solution as of 12/29/2013 for what I've currently found to be the quickest way to complete this app.
Start by signing in and popping
Next go to Prime Movies and search for
Planes, Trains & Automobiles. Add this to your watchlist over and over, effectively deleting and re-adding it each time until you unlock
Now start playing
Planes, Trains & Automobiles and fast forward at 128x speed until you get nearly to the end. You need to watch about the last 20 seconds for it to count as watched. Repeat this 5 times. You will have unlocked
Next go to Prime Movies and search for
The Sorcerer and the White Snake. Repeat the same process as before and after 5 times you should have unlocked.
You should have now "completed" this app. Please note that movies available and ratings are subject to change and may alter the effectiveness of this solution. If this no longer works please let me know and I will update the solution.
As of 12/29/2013 I'm unable to find a movie available that covers Comedy, Drama, and Action, let alone having a 4.5 rating or better and being made in 2013. If you find one please let me know and I will edit my solution.