Here is the full list of all 39 Battle Worlds: Kronos achievements.
You have completed mission 6, "The Base"!
You have reached all secondary goals in mission 6, "The Base"!
You have completed mission 6, "The Base", without requesting reinforcements!
You have completed mission 5, "Coast of fate"!
You have reached all secondary goals in mission 5, "Coast of fate"!
You have completed mission 5, "Coast of fate", without requesting reinforcements!
You have completed mission 4, "Preparations"!
You have reached all secondary goals in mission 4, "Preparations"!
You have completed mission 4, "Preparations", without requesting reinforcements!
You have completed mission 3, "Retaliation"!
You have reached all secondary goals in mission 3, "Retaliation"!
You have completed mission 3, "Retaliation", without requesting reinforcements!
You have completed mission 2, "Scorched Earth"!
You have reached all secondary goals in mission 2, "Scorched Earth"!
You have completed mission 2, "Scorched Earth", without requesting reinforcements!
You have completed mission 1, "Search & Rescue"!
You have reached all secondary goals in mission 1, "Search & Rescue"!
You have completed mission 1, "Search & Rescue", without requesting reinforcements!
You have completed mission 7, "The Bomb"!
You have completed mission 8, "Last Stand"!
You have completed mission 9, "Old Man River"!
You have completed mission 10, "A Single Soul"!
You have completed mission 11, "The Temple"!
You have completed mission 12, "Battle for the future"!
You have completed mission 13, "The Turn of Tides"!
You have reached all secondary goals in mission 7, "The Bomb"!
You have reached all secondary goals in mission 8, "Last Stand"!
You have reached all secondary goals in mission 9, "Old Man River"!
You have reached all secondary goals in mission 10, "A Single Soul"!
You have reached all secondary goals in mission 11, "The Temple"!
You have reached all secondary goals in mission 12, "Battle for the future"!
You have reached all secondary goals in mission 13, "The Turn of Tides"!
You have completed mission 7, "The Bomb", without requesting reinforcements!
You have completed mission 8, "Last Stand", without requesting reinforcements!
You have completed mission 9, "Old Man River", without requesting reinforcements!
You have completed mission 10, "A Single Soul", without requesting reinforcements!
You have completed mission 11, "The Temple", without requesting reinforcements!
You have completed mission 12, "Battle for the future", without requesting reinforcements!
You have completed mission 13, "The Turn of Tides", without requesting reinforcements!