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