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