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