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