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