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