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