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.
Reach max rank with all Agents in a single campaign.
Buy 20 unique Scavenger Market items in a single campaign.
Complete 20 Assembly Projects in a single campaign.
Complete every Spec Op at least once in a single campaign.
Have Rank 3 Field Teams in all nine districts.
Relocate the same unit with Shelter and his ghost in one turn.
Use Claymore to detonate a Shrapnel Bomb with another explosive.
Use Verge to do 10 or more damage with one Mindflay.
Fully upgrade an Android.
Complete a mission with only one Agent left standing.
Move a VIP with Shelter’s Relocate and Torque’s Tongue Pull.
Replace an Agent mid-mission with an Android.
Kill an enemy with Axiom while Berserk.
Use every Agent in at least one mission.
Complete a mission without killing a single enemy.
Have Kinetic Armor on all 4 squad members at once.
Complete an encounter by only dealing damage with melee attacks.
Win the campaign on Impossible difficulty.
Win the campaign.
Complete the Sacred Coil Investigation.
Clear an entire encounter during the Breach turn.
Use every type of Breach point.
Unlock all Field Abilities.
Capture a Ronin.
Hack an enemy Android with Patchwork and trigger Self-Destruct.
Use Blueblood to hit 3 or more enemies with one Phase Lance shot.
Complete the Progeny Investigation.
Complete all of one Agent’s class training.
Use Torque to Tongue Pull an enemy into poison.
Capture a Sorcerer.
Equip an Epic Weapon.
As Godmother, activate Overtime and down an enemy on both turns.
Complete the Gray Phoenix Investigation.
Capture a Praetorian.
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 an objective with an action from Terminal’s Cooperation.
Complete the tutorial.
Have 8 Agents in the squad in a single campaign.