Here is the full list of all 11 Deep Sleep Trilogy achievements. It takes around 1-2 hours to unlock all of the achievements on Windows.
[Deep Sleep] Complete the game
[Deeper Sleep] Complete the game
[The Deepest Sleep] Complete the game - ending A
[The Deepest Sleep] Complete the game - ending B
[Deep Sleep] You are really stubborn sometimes, aren't you!
[Deeper Sleep] It's like a recurring nightmare
[Deeper Sleep] Collect all the notes
[Deeper Sleep] Save the lost boy
[The Deepest Sleep] Sneak past the Bottom Feeder without drawing its attention
[The Deepest Sleep] Find the sleeping beauty
Complete the trilogy