Here is the full list of all 20 1982 achievements.
Kill Man 5 times [Time Attack Mode]
Score 8k [Survivor Mode]
Get hit less than 5 times [Time Attack Mode]
Catch 10 power-ups [Time Attack Mode]
Finish with a x15 multiplier [Time Attack Mode]
Kill an Influence Device [Time Attack Mode]
Rescue Man 3 times [Survivor Mode]
Score 500 without power-ups [Survivor Mode]
Let 3 power-ups burn [Survivor Mode]
Survive for 64.802 seconds [Survivor Mode]
Kill the Death Star [Arcade Mode]
Survive until midnight [Arcade Mode]
Let 5 ghosts return to Earth [Arcade Mode]
Get a x24 multiplier [Arcade Mode]
Collect 333 coins [Arcade Mode]
Create 'Major Havoc' 5 times [Arcade Mode]
Save Man 10 times in a row [Arcade Mode]
Score 64k before a man is lost [Arcade Mode]
Destroy 20 power-ups in a row [Arcade Mode]
Kill 8 enemies in an explosion [Arcade Mode]