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