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.
Make all main tweaks.
Defeat Mother's Corners.
Defeat Fitzroy.
Get all chests in one playthrough.
Protect the rocket.
Reach the city.
Survive the encounter with an agent.
Made a tweak.
Use the wrench to deflect danger.