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