Here is the full list of all 204 Space Stories: Darth Star achievements.
Complete level 49
Kill 100x "Dragonfly III"
Complete level 48
Kill 100x "Invincible light"
Complete level 47
Kill 100x "Invincible light III"
Complete level 46
Complete level 45
Kill 100x "Invincible light II"
Complete level 44
Kill 100x "Dragonfly"
Complete level 43
Kill 100x "Dragonfly II"
Kill 10x "Dragonfly III"
Complete level 42
Kill 1x "StrongFaith II"
Kill 10x "Invincible light III"
Kill 10x "Invincible light II"
Kill 1x "Dragonfly III"
Kill 1x "Invincible light III"
Kill 1x "Invincible light II"
Complete level 41
Kill 10x "Invincible light"
Kill 10x "Dragonfly II"
Kill 1x "StrongFaith"
Kill 10x "Dragonfly"
Kill 1x "Invincible light"
Kill 1x "Dragonfly II"
Kill 1x "Dragonfly"
Complete level 40
Kill 1x "StrongFaith III"
Kill 100x "MadStar"
Complete level 39
Kill 100x "MadStar II"
Kill 100x "WayFarer II"
Complete level 38
Buy "Weapon VIII"
Complete level 37
Kill 10x "MadStar III"
Kill 10x "WayFarer"
Buy "Weapon VII"
Complete level 36
Kill 10x "WayFarer III"
Kill 1x "Exterminator"
Kill 10x "MadStar"
Kill 10x "WayFarer II"
Kill 10x "MadStar II"
Kill 1x "Exterminator II"
Kill 1x "MadStar III"
Kill 1x "WayFarer"
Kill 1x "WayFarer III"
Kill 1x "WayFarer II"
Kill 1x "MadStar II"
Kill 1x "MadStar"
Buy "Weapon VI"
Buy "Energy Shield Count IV" upgrade
Complete level 35
Buy "Weapon V"
Kill 1x "Exterminator III"
Kill 10x "MegaAnnihilator III"
Buy "Energy Shield Regeneration Speed IV" upgrade
Buy "Drone Power IV" upgrade
Buy "Drone Count IV" upgrade
Complete level 34
Kill 10x "Annihilator III"
Kill 10x "MegaAnnihilator"
Kill 1x "MegaAnnihilator III"
Buy "Drone Power III" upgrade
Buy "Drone Count III" upgrade
Complete level 33
Kill 100x "Annihilator II"
Kill 1x "FlyDeath II"
Kill 100x "Annihilator"
Kill 1x "Annihilator III"
Kill 1x "MegaAnnihilator"
Kill 10x "MegaAnnihilator II"
Buy "Automatic Turret Speed IV" upgrade
Buy "Automatic Turret Power IV" upgrade
Complete level 32
Kill 1x "MegaAnnihilator II"
Buy "Economic Center Speed IV" upgrade
Complete level 31
Kill 10x "Annihilator II"
Kill 10x "Annihilator"
Kill 1x "FlyDeath"
Kill 1x "Annihilator II"
Kill 1x "Annihilator"
Buy "Weapon IV"
Complete level 30
Kill 100x "GrimFighter III"
Kill 100x "GrimFighter"
Kill 1x "FlyDeath III"
Buy "Weapon III"
Complete level 29
Buy "Energy Shield Count III" upgrade
Buy "Automatic Turret Power III" upgrade
Complete level 28
Buy "Economic Center Profit IV" upgrade
Complete level 27
Kill 100x "GrimFighter II"
Buy "Energy Shield Regeneration Speed III" upgrade
Complete level 26
Buy "Drone Power II" upgrade
Buy "Energy Shield Count II" upgrade
Buy "Energy Shield Regeneration Speed II" upgrade
Complete level 25
Buy "Economic Center Speed III" upgrade
Complete level 24
Kill 10x "GrimFighter III"
Kill 10x "Daredevil III"
Kill 1x "GrimFighter III"
Buy "Automatic Turret Speed III" upgrade
Complete level 23
Kill 100x "Daredevil"
Kill 100x "Daredevil II"
Kill 1x "StarLeader II"
Kill 1x "Daredevil III"
Buy "Economic Center Profit III" upgrade
Complete level 22
Kill 10x "GrimFighter"
Kill 10x "GrimFighter II"
Kill 1x "GrimFighter"
Kill 1x "GrimFighter II"
Buy "Economic Center Speed II" upgrade
Complete level 21
Kill 10x "Daredevil"
Kill 10x "Daredevil II"
Kill 1x "StarLeader"
Kill 1x "Daredevil II"
Kill 1x "Daredevil"
Buy "Economic Center Profit II" upgrade
Complete level 20
Kill 1x "StarLeader III"
Buy "Drone Count II" upgrade
Buy "Weapon II"
Complete level 19
Complete level 18
Complete level 17
Kill 10x "Fearless III"
Kill 1x "Adamantine II"
Buy "Automatic Turret Power II" upgrade
Complete level 16
Buy "Energy Shield Count I" upgrade
Buy "Energy Shield Regeneration Speed I" upgrade
Complete level 15
Kill 1x "Fearless III"
Complete level 14
Kill 100x "Fearless II"
Buy "Automatic Turret Speed II" upgrade
Complete level 13
Kill 100x "Fearless"
Buy "Drone Power I" upgrade
Complete level 12
Kill 1x "Adamantine"
Buy "Automatic Turret Power I" upgrade
Complete level 11
Kill 10x "Fearless II"
Kill 10x "Fearless"
Kill 1x "Fearless II"
Kill 1x "Fearless"
Buy "Weapon I"
Complete level 10
Kill 1x "Adamantine III"
Complete level 9
Complete level 8
Buy "Drone Count I" upgrade
Kill 10x "Light of Redemption III"
Kill 1x "Light of Redemption III"
Complete level 7
Build "Energy Shield"
Build "Hangar"
Buy "Automatic Turret Speed I" upgrade
Buy "Economic Center Speed I" upgrade
Buy "Economic Center Profit I" upgrade
Complete level 6
Build "Economic Center"
Kill 100x "Light of Redemption II"
Complete level 5
Complete level 4
Kill 10x "Light of Redemption II"
Kill 1x "Light of Redemption II"
Complete level 3
Build "Automatic Turret"
Complete level 2
Kill 100x "Light of Redemption"
Complete level 1
Kill 10x "Light of Redemption"
Kill 1x "Light of Redemption"
Kill 100x "Light of Redemption III"
Kill 100x "Fearless III"
Kill 100x "Daredevil III"
Kill 100x "Annihilator III"
Kill 100x "MegaAnnihilator"
Kill 100x "MegaAnnihilator II"
Kill 100x "MegaAnnihilator III"
Kill 100x "MadStar III"
Kill 100x "WayFarer"
Kill 100x "WayFarer III"