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