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