Here is the full list of all 20 Hexa Turn achievements. It takes around 3-4 hours to unlock all of the achievements on Windows.
Turn 500 Hexagons
Solve 50 levels without using bonus.
Unlock all levels of package 2
Complete all levels of pack 2
Spell "Hexa Turn"
Unlock all levels of package 1
Complete all levels of pack 1
Solve 25 levels without using bonus.
Turn 250 Hexagons
Solve 10 levels without using bonus.
Turn 100 Hexagons
Turn 50 Hexagons
Turn 25 Hexagons
Solve 75 levels without using bonus.
Solve 96 levels without using bonus.
Turn 1000 Hexagons
Unlock all levels of package 3
Unlock all levels of package 4
Complete all levels of pack 3
Complete all levels of pack 4