Here is the full list of all 17 SokoLab achievements.
Use Undo 80 times
Use Undo 40 times
Replay a level
Restart a level 60 times
Restart a level 40 times
Disable an elevator by pressing Undo
Complete Level 20
Discover the automatic elevator (enter stage 21)
Discover the system of levels and elevators (enter level 16)
Restart a level 20 times
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