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