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