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