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