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.
Win the campaign.
Complete the Progeny Investigation.
Complete an objective with an action from Terminal’s Cooperation.
Use Torque to Tongue Pull an enemy into poison.
Fully upgrade an Android.
Complete 20 Assembly Projects in a single campaign.
Capture a Sorcerer.
Complete all of one Agent’s class training.
Complete the Gray Phoenix Investigation.
Use Claymore to detonate a Shrapnel Bomb with another explosive.
Capture a Praetorian.
Launch a mission with no human agents in the squad.
Complete a mission with only one Agent left standing.
Unlock all Field Abilities.
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.
Use Blueblood to hit 3 or more enemies with one Phase Lance shot.
Use Zephyr to hit 3 or more enemies with one use of Crowd Control.
Capture a Ronin.
Complete the tutorial.
Win the campaign on Impossible difficulty.
Replace an Agent mid-mission with an Android.
Clear an entire encounter during the Breach turn.
Use every Agent in at least one mission.
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.
Complete all versions of each Faction’s Takedown mission over multiple campaigns.
Complete every Spec Op at least once in a single campaign.
Use every type of Breach point.
As Godmother, activate Overtime and down an enemy on both turns.
Have Kinetic Armor on all 4 squad members at once.
Use Verge to do 10 or more damage with one Mindflay.
Hack an enemy Android with Patchwork and trigger Self-Destruct.
Relocate the same unit with Shelter and his ghost in one turn.
Kill an enemy with Axiom while Berserk.
Complete an encounter by only dealing damage with melee attacks.
Move a VIP with Shelter’s Relocate and Torque’s Tongue Pull.