Here is the full list of all 22 Wanderer of Teandria achievements.
Complete first zone really fast
Collect all life crystals in the first zone
Complete first zone without dying
Defeat boss of the first zone
Complete second zone really fast
Collect all life crystals in the second zone
Complete second zone without dying
Defeat boss of the second zone
Complete third zone really fast
Collect all life crystals in the third zone
Complete third zone without dying
Defeat boss of the third zone
Complete fourth zone really fast
Collect all life crystals in the fourth zone
Complete fourth zone without dying
Defeat boss of the fourth zone