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