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