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