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