Here is the full list of all 16 Great Permutator achievements.
Move 5 boxes to output conveyors simultaneously
Collide 3 boxes
Get 50 boxes on the field at the same time
Complete a level covering all 121 tiles
Solve all bonus levels with A+ grade
Complete Black Box Pack
Complete Randomizer Pack
Complete Multi Teleport Pack
Solve all 50 main levels with A+ grade
Solve all 50 main levels
Complete a level in at least 300 cycles
Complete a level placing 3 blocks in one vertical row
Complete a level using not all action blocks
Solve all 25 levels from the first page
Destroy all boxes without completing the level
Solve any 3 levels