Here is the full list of all 14 4 Elements achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Clear away 20 stone slabs using long chains.
Restore the third Book of Elements.
Restore the second Book of Elements.
Use all four power-ups on a level.
Restore the first Book of Elements.
Make a minimum of 4 long chains in a row.
Complete a level without getting stuck.
Make a 16 pieces long chain.
Complete a level by using long chains only.
Spot all the differences between two cards within a short time.
Complete the quest in 90 seconds or less.
Complete twenty levels in a row without losing any.
Restore the forth Book of Elements.
Complete the game and save the magical world.