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