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