Here is the full list of all 22 The Directed achievements.
Start first level
Play all mini games
Open door using a button
Unravel the mystery of the broken teleports
Clear level from the arrows
Grab 2 boxes
Fall from level
Complete 40 levels
Make 3 circles in a closed path
Use one-time arrow
Complete 10 levels
Wait for a door to open more than 4 seconds
Complete 30 levels
Complete 20 levels
Enter the teleporter
Complete all levels of the main game
Run through 50 broken platforms
Run through broken platform
Gather 7000 score in the first mini-game
Complete the second mini-game
Complete the third minigame
Complete the fourth mini-game