Here is the full list of all 16 Shut Eye achievements.
Crank the music box 10 times
Finish tutorial
Turn on external light 10 times
Light every corner with torchlight
Finish level 1
Chceck upper bed 10 times
Finish level 2
Finish level 3
Finish level 4
Finish level 5
Finish level 6
Finish level 7
Finish last level
Use music box in the last moment for 5 times
Be scared 5 times
Listen "hero" monologue for 5 times