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