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