Here is the full list of all 34 INFERNO CLIMBER achievements.
Built housing at the base.
Conquered the bow trial.
Cleared the first stage.
Cleared the first mission.
Mastered the inferno.
Conquered the forest.
Conquered the old castle.
Conquered the desert.
Saved your captive friends.
Defeated the traitor.
Conquered the Land of Fire.
Conquered the heavens.
Defeated the final evil.
Filled 40% of the monster book.
Filled 80% of the monster book.
Completed the monster book.
Filled 40% of the item book.
Filled 80% of the item book.
Completed the item book.
Conquered all trials.
Exceeded limits in all trials.
Mastered cooking.
Mastered blacksmithing.
Read all 10 mysterious books.
Mastered housing at the base.
Mastered housing worldwide.
Handed over 100 bones.
Gathered the three bone men.
Raised chickens in all nests.
Grew all trees.
Obtained the world's treasure.
Grew to like all foods.
Met the desert merchant.
Entered the prison treasure vault.