Here is the full list of all 25 Lost Artifacts: Frozen Queen achievements.
For defeating the Villain
For completing all levels with 3 stars
For finding all artifacts
For using all bonuses
For speeding up excavations
For restoring five Precious Eggs
For completing the third zone
For resource autocollection
For restoring five antique statues
For finding 5 artifacts
For defeating 10 scorpions
For completing the second zone
For finding 10 chests
For activating the portal
For removing obstacles using a bonus
For opening 7 chests
For completing 15 levels with 3 stars
For completing the first zone
For fixing the airplane
For getting through five hanging cage traps
For speeding up movement and work
For defeating 10 ice warriors
For defeating 10 crocodiles
For lighting the signal fire
For completing 5 levels with 3 stars