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