Here is the full list of all 11 Iconoclasts achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Complete the game.
Defeat Mother's Corners.
Protect the rocket.
Reach the city.
Survive the encounter with an agent.
Use the wrench to deflect danger.
Made a tweak.
Defeat Fitzroy.
Make all main tweaks.
Get all chests in one playthrough.
Beat Challenge mode.