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