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