Here is the full list of all 14 The Mystery of a Lost Planet achievements.
Collect the runes of all elements
Complete mini-game “Find Correct Password” without using “skip” button
Get out to the surface of the planet
Meet the survivor of the spaceship wreck
Repair the onboard computer without using any Hints
Open the lock in the ship’s hold without using “skip” button
Launch fireworks
Blow up dynamites
Find the bones without using any Hints
Find all insects or sea creatures without using any Hints
Complete a search without using any Hints
Complete three searches without using any Hints
Complete five searches without using any Hints
Collect all the achievements