Here is the full list of all 19 Byte Lynx achievements.
Construct 100 buildings
A journey begins
During mission Sympathizer, destroy the Purifier's HQ before he can retreat
Defeat a great evil
Beat the mission Impact without destroying Jeltz's HQ
Beat the mission Retaliation on Expert difficulty
Beat mission Lost Cause in less than 5 minutes
In mission Back Door, use one enemy to "back door" the other
Beat Traitor on Expert difficulty
Beat Death's Heart without Gossemer's HQ taking damage
Beat Wanted on Expert difficulty
Beat mission Invasion in less than 5 minutes
Construct 500 buildings
Construct 2000 buildings
Capture 500 buildings
Capture 2000 buildings
Cut off power to 100 enemy buildings at once
Beat every level on Expert
Beat mission Harmony.REC without a single Triplex being destroyed or demolished