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