Mega Man really needs no introduction. After Mario and Zelda he was perhaps the biggest NES icon, and the Mega Man series still gets new games each year (Although their quality is questionable). The first game in the series is fairly standard compared to the sequels (Such as the sublime Mega Man 2 and 3) but is a cult classic and really should be played by anybody who considers themselves a NES fan in the slightest.
Neo Turf Masters is a golf game for the Neo Geo. You might think that golf games are boring, but Neo Turf Masters is actually very fun and probably one of the best golf games ever made. The game is fast-paced and easy for anyone to play - Of course it's harder to master! Released in the middle of the Neo Geo's life span, it also has rather good graphics and a not too interesting but still pretty good soundtrack.