Here is the full list of all 9 Children of a Dead Earth achievements.
Beat the game.
Defeated an entire gas giant system with a single ship.
Unlocked Module Design through combat.
Unlocked Ship Design through combat.
Used a precision strike to disarm an enemy craft.
Emerged victorious from at least one combat.
Completed at least one level.
Beat the game with Silver on all levels.
Beat the game with Gold on all levels.