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