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