Here is the full list of all 23 Destiny or Fate achievements.
Improve your hero via Enchant Point
Arrive in shop block for the first time.
Get mastery for the first time.
Complete Chapter.1
Complete Chapter.2
Complete Chapter.3
Slay first elite.
Slay 50 elites.
Defeat for the first time.
10 Defeats.
Gain 10,000 golds.
Slay boss, Draga.
Slay boss, Hydra.
Slay boss, Scythe.
Slay boss, Skeleton King.
Slay boss, Yacha.
Slay boss, Zatorich.
Finish the story with one hero.
Slay 1000 normal monsters.
Gain 1,000,000 golds.
Finish the story with five heroes.
Finish the story with ten heroes.
Finish the story with all heroes.