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