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