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