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