DmC Devil May Cry

I'd recommend doing this in Mission 3 or in Mission 15. On Mission 3, this will have to be done after you've completed the level for the first time. On Mission 15, this is pretty easy to do your first time.

Mission 3: Once you've completed the level once and have your angel boost ability, load up the level again. Carefully kill the first group of enemies that you encounter, which shouldn't be too hard. Kat will call out to Dante and have the symbol prepared for him to leave. The floor will fall and Dante will say he'll need to "find another way." Because you already have angel boost (the ability required to leave the level), simply angel boost your way through to Kat to exit the level. This skips 95% of the entire level and you do not have to fight anything else. If you didn't take damage from the small group you fought when the level started, you'll unlock this achievement. This will also allow you to get the "Where Does Time Go" achievement easily.

Mission 15: Simply ignore all the enemies in this level. Your main focus is Kat/Vergil, so focus on getting them through the level safely. There are only 2-3 mobs of enemies that will spawn in this level and you can very easily ignore them all. The only risk that this level poses is falling. I do believe that falling voids this achievement, as falling does count as damage.