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