Here is the full list of all 24 A.R.E.S.: Extinction Agenda achievements.
In Hard Mode, defeat all the bosses using only the Zytron Blaster
Finish all of the stages without using a single repair kit
Achieve Synthesis Soldier rank 'S'
Perfect the Prime Guardian boss fight
Finish all of the stages without dying
Achieve Synthesis Soldier rank 'A'
Perfect the Sentinel boss fight
Collect all the Data cubes
Collect 1000 units of each material type
Trick a Bomber to hit and destroy a Zytron Walker (LA)
Perfect the Carrion boss fight
Perfect the Goliath boss fight
Destroy 5 or more enemies, at once with Valkyl's Zypher Cannon
Finish the game once
Watch all the cut-scenes without skipping
Destroy 20 enemies, using your Grenade Attack
Stun 10 enemies with the EMP grenade
Destroy 10 enemies, using your Dash Attack
Destroy 1000 enemies
Maximize your attack combo
Finish all of the in-game tutorials
Upgrade one of your weapons to its maximum level
Discover and use your first repair machine
Achieve Synthesis Soldier rank 'SS'