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