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