Here is the full list of all 24 Atari Vault achievements.
Shoot at least 15 rocks in a row in Astroblast without letting one get by
Achieve a Commander rating in Star Raiders
Spell SKYDIVER
Retrieve at least 6 treasures in Aquaventure
Get Extended Play in Monte Carlo at Medium setting
Earn 800 points in Lunar Lander’s COMMAND MISSION.
Win Level 2 without slaying a single dragon in Adventure.
Get the top score of 99 in Air-Sea Battle’s Shooting Gallery.
Win with no wall left in arcade Warlords.
Kill 10 UFOs in a single level of arcade Asteroids without dying.
Clear the level in Arcade Canyon Bomber
Clear an entire Rack in Pool Shark
Finish Adventure II without dying once
Clear a full screen in arcade Super Breakout while playing cavity or double.
Clear the level in Avalanche
Get Extended Play in Fire Truck with two players
Get to the top of the local leaderboard in Maze Invaders
Beat the computer in Atari Baseball
Take out 10 fleas in a row in arcade Centipede, without letting one reach the ground.
Play a game from every category in the List View.
Win a game of Pong against the AI without losing a point to it.
Take out the Swirl with your Zorlon Cannon in Yars’ Revenge.
Earn a bonus city in arcade Missile Command after losing all your cities.
Take out an entire Millipede with DDT in the arcade version.