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