The first video game ever made was Pong.
Pong is still as addictive today as ever.
Even if you don't like that, Pac Man came out a mere 8 years later, Tetris 4 years after that, and those are still plenty fun.
There are no old games, just intolerant gamers.
EDIT: I just noticed that a bunch of people previously mentioned Pong on this thread. My point is still valid. Heck, probably more so.