Complete the 05SUBWAY level which is the 5th level in the game.
Edit:
This achievement is glitched for some people and does not unlock upon completion of the level. Some fixes that might have worked are 1. Doing level again, 2. Deleting save files and restarting game, 3. Clicking on the level from main menu, then completing without a death.
If a 2nd person can confirm that the 3rd works I will update the solution.