Here we go. Once again, the steps for each one are: Watch to the point I tell you => Press 
=> Start Playing =>IMMEDIATELY press 
=> Quit Game => Quit (Save) => Continue. At some points, you may have to move slightly. I've noted those for you.
Remember to IMMEDIATELY press after you start playing. The time should be around 1-2 seconds after you restart, so I cut it close. 
Alpha Mission (Arcade): Watch until 35:50, then Start Playing => => Follow the above instructions.
Athena (Arcade): Watch until 19:12, etc.
Skip down to Crystalis: 149:08 (This one takes about 10 seconds into the credits.)
Guerrilla War (Arcade): 10:52
Ikari Warriors (Arcade): 9:19 => Move up to the big green guy.
Ikari Warriors II (Arcade): 13:59 - This one is really close. You kill the guy on the left, then immediately when the text pops up, the achievement pops. Make sure to do it right at 13:59 and immediately pause the game after playing.
Ikari Warriors III (Arcade): 25:10
Iron Tank: 35:38
Skip down to P.O.W. (Arcade): 17:51
Prehistoric Isle: 18:49
Psycho Soldier: 28:29
Skip down to Street Smart, and don't use drugs!: 11:07
Skip to TNK III: 18:26 => Move up (don't worry about the guy behind you)
Vanguard: 6:16
Congrats on your 1000! Hope this helped! 
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