In the early stages of the main story you will come across sub story 8 that has a focus on a movie theater that shows old school movies.
Once you complete the sub story you will have unlimited access to the theater at any time to watch each movie.
To watch a movie costs it 1,000 yen and there are 10 different movies to watch.
When you watch each movie there is a strange mini game where a total of 8 sheep men attempt to make you fall asleep during the movie and your goal is to stay awake for the duration.
To stay awake all you must do is hit the corresponding button,
or
, on screen to make the sheep go away, chickens will also appear
DO NOT HIT THEM as they use giant cymbals to regenerate your sleep meater and keep you awake if you miss a few sheep and with each movie there is a new difficulty ranging from 1-5.
Also watch out for rush mode this just makes the sheepmen appear faster and in larger bundles.
Simply complete each movie without falling asleep and the trophy is yours.