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