This is... rough. Today, arcade games actually aren't that impressive. They don't have the most impressive hardware, and haven't in decades. Even the gimmicks they employ that keep them from being played on home console aren't that impressive. So, I'm picking a game that was very impressive at release and it took a full decade+ to get a
proper
home release of any kind:
Dragon's Lair
.
Existence. Existence is but shallow question with no answer. Buu make you chicken nuggies!