This one might pose a small challenge, but it's not that bad. Start the game on EASY with MAX energy and MAX lives. Make sure to abuse the save feature and you should have no problem. If you want, kill an enemy (or group) and save if you took no damage. If you took damage, then reload your last save. Work through it like that and is should be quick. It really helps to get fully powered up to make things easier. You only have to make it to the third level to unlock the achievement, not beat the game.