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