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