Here is the full list of all 29 Axiom Verge achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Glitch every enemy type at least once.
Complete the game once in Speedrun Mode.
Complete the game with under 40% of all items.
Complete the entire game in under 4 hours.
Complete the game without dying more than once.
Complete the game in Hard difficulty.
Spare the Xedur Hul variant.
Acquire 100% of all weapons, tools, upgrades, and notes.
Find 100% of all notes in the game.
Find 100% of Health Nodes.
Uncover 100% of the game map.
Find 100% of the weapons in the game.
Find 100% of all Power Nodes.
Find 100% of the tools/abilities in the game.
Bypass Athetos' aborted clone wihout damaging it.
Use the Passcode Tool for the first time.
Destroy 2000 bricks.
Defeat Athetos.
Defeat Sentinel.
Destroy 2000 regenerating blocks.
Defeat the Ukhu Variant.
Defeat one of Athetos' aborted clones.
Be defeated by yourself.
Defeat the Gir-Tab variant.
Defeat the Uruku variant.
Discover your first secret world.
Glitch your first enemy.
Defeat the Telal variant.
Defeat the Xedur variant.