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