At the end of Chris’ Chapter 4 Campaign, you’ll be in a jet. You’ll need to finish this section of the game without the jet taking damage, which means dodging missiles and avoiding collisions. You can get this is either Chris or Piers.
As Chris: Press when prompted to barrel roll and dodge incoming missiles. If you hold down during the barrel roll, you can shoot down the missiles and keep them from circling around. Shoot down the helicopters as fast as you can and when Piers cleans up the guns on the ship, you’ll be done with the hardest part.
As Piers: You only have to concentrate on shooting the anti-aircraft guns on the ship. Do this is fast as you can and the AI will do the rest. There is a little luck involved as you have to rely on the AI to dodge incoming missiles. There was a spot where I would always get hit by a missile, but many people have reported unlocking this achievement as Piers.
Finish the rest of the chapter without dying and it’ll unlock at the end. Also pay attention to the green outline in the bottom right of your screen. If you ever get hit, this flashes red and that’s your cue to immediately hit and restart the checkpoint. Note that dying and hitting "Yes" to continue will NOT allow you to earn the achievement.