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.
Complete all versions of each Faction’s Takedown mission over multiple campaigns.
Clear an entire encounter during the Breach turn.
Buy 20 unique Scavenger Market items in a single campaign.
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.
Win the campaign on Impossible difficulty.
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.
Hack an enemy Android with Patchwork and trigger Self-Destruct.
Use every Agent in at least one mission.
Win the campaign.
Complete the Sacred Coil Investigation.
Use every type of Breach point.
Reach max rank with all Agents in a single campaign.
Relocate the same unit with Shelter and his ghost in one turn.
Move a VIP with Shelter’s Relocate and Torque’s Tongue Pull.
As Godmother, activate Overtime and down an enemy on both turns.
Fully upgrade an Android.
Have Kinetic Armor on all 4 squad members at once.
Complete 20 Assembly Projects in a single campaign.
Capture a Ronin.
Use Verge to do 10 or more damage with one Mindflay.
Use Claymore to detonate a Shrapnel Bomb with another explosive.
Use Torque to Tongue Pull an enemy into poison.
Have Rank 3 Field Teams in all nine districts.
Complete the Gray Phoenix Investigation.
Complete every Spec Op at least once in a single campaign.
Complete all of one Agent’s class training.
Launch a mission with no human agents in the squad.
Capture a Praetorian.
Have 8 Agents in the squad in a single campaign.
Replace an Agent mid-mission with an Android.
Equip an Epic Weapon.
Kill an enemy with Axiom while Berserk.
Unlock all Field Abilities.
Complete the Progeny Investigation.
Complete an objective with an action from Terminal’s Cooperation.
Capture a Sorcerer.
Complete the tutorial.