Here is the full list of all 40 XCOM: Chimera Squad achievements. It takes around 60-80 hours to unlock all of the achievements on Windows.
Win the campaign.
Use Verge to do 10 or more damage with one Mindflay.
Complete the Sacred Coil Investigation.
Use Claymore to detonate a Shrapnel Bomb with another explosive.
Fully upgrade an Android.
Complete 20 Assembly Projects in a single campaign.
Complete an objective with an action from Terminal’s Cooperation.
Have Rank 3 Field Teams in all nine districts.
Complete every Spec Op at least once in a single campaign.
Capture a Ronin.
As Godmother, activate Overtime and down an enemy on both turns.
Use Torque to Tongue Pull an enemy into poison.
Unlock all Field Abilities.
Complete all of one Agent’s class training.
Complete the Gray Phoenix Investigation.
Use Zephyr to hit 3 or more enemies with one use of Crowd Control.
Capture a Praetorian.
Have 8 Agents in the squad in a single campaign.
Equip an Epic Weapon.
Complete the Progeny Investigation.
Capture a Sorcerer.
Launch a mission with no human agents in the squad.
Complete a mission without killing a single enemy.
Complete the tutorial.
Win the campaign on Impossible difficulty.
Replace an Agent mid-mission with an Android.
Clear an entire encounter during the Breach turn.
Use every Agent in at least one mission.
Buy 20 unique Scavenger Market items in a single campaign.
Reach max rank with all Agents in a single campaign.
Complete all versions of each Faction’s Takedown mission over multiple campaigns.
Use every type of Breach point.
Have Kinetic Armor on all 4 squad members at once.
Use Blueblood to hit 3 or more enemies with one Phase Lance shot.
Hack an enemy Android with Patchwork and trigger Self-Destruct.
Relocate the same unit with Shelter and his ghost in one turn.
Kill an enemy with Axiom while Berserk.
Complete a mission with only one Agent left standing.
Complete an encounter by only dealing damage with melee attacks.
Move a VIP with Shelter’s Relocate and Torque’s Tongue Pull.