Here is the full list of all 14 Pocket Puzzle achievements.
First Time
Reach level 5
Reach level 10
Reach level 15
Reach level 20
Reach level 25
Reach level 30
Clear All Levels
Reach the Credits Screen
Unfinished Goal
Learning to use the box
Learning to use the Green Lever
Learning to use the Blue Lever
Assemble two Pockets