Here is the full list of all 17 SokoLab achievements.
Pass level 13 without activating any switches
Complete Level 10
Discover the switch system (enter stage 11)
Disable an elevator by pressing Undo
Elevate a block using the red elevator
Complete The First 5 Levels
Discover the electrical system (enter stage 6)
Complete 3 levels without using undo
Complete Level 20
Replay a level
Discover the system of levels and elevators (enter level 16)
Discover the automatic elevator (enter stage 21)
Restart a level 20 times
Restart a level 40 times
Restart a level 60 times
Use Undo 40 times
Use Undo 80 times