Here is the full list of all 27 CRYPTARK achievements.
Appears in Rogue level 5
Appears in +4 level ships. Keep Repair system.
The final artifact. Found in Cryptark Excavation.
Appears at end of Rogue Mode
Appears at end of Campaign.
Requires star map to appear. Appears in level 3-5 ships. Max loadout of 15.
Appears in Rogue level 3
Appears in Rogue level 4. Requires AI Chip artifact.
Appears in Rogue level 4
Appears in Rogue level 1
Appears in level 4+ Factory ships. Keep Factory systems.
Requires Cybernetic Prosthetic. Appears in level 5+ ships. Max loadout of 60k.
Appears in Rogue level 2
Appears in Rogue level 4. Requires Outsider Remains artifact
Appears in Cryptark. Destroy all systems.
Appears in any ship class. Keep Nuclear Defense system.
Appears in level 2-3 Warship ships. Max loadout of 35k.
Appears in Stockade. Destroy Sentry systems.
Requires Probe artifact to appear. Appears in level 4+ ships. Max hull of 3.
Appears in level 5+ ships. Keep Drone Armouring system.
Appears in Colony Ark level 4+ ships. No repair kits.
Appears in any class. Keep the Shuffle system intact.
Appears in Miner-class ships level 3+. Kill 5 Juggernauts.
Appears in any ship class. Keep Jammer system.