I'd have to go with Super Mario Bros. 3 for the NES, amazing classic that is still amazingly fun to play today!
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I love Star Ocean 2 and Final Fantasy 7 and 9. Nothing beats the classic. And by the way my most unforgettable game is can't recall it. Just kidding. wild arms 2.
FPS: probably CS, some may be better, but it's so classic. MMO: EQ for the same reason as above, but the 'better' one would be WoW console: FF7 no question
Fallout series are my favorite. I have completed all of them and will start New Vegas soon. From these series I find Fallout 2 is the best.