Wow Ive been playing games so long that is hard to come up with just a few. I remember that my first system was the orig. atari and it cost 320$, holy god, does the xbox 360 even cost that much, boy how the times have changed. I guess the most influential games would have been:
anything with a car or bike to drive, all started by Pole Position, and Excite Bike
the Mortal Combat arcade game(I remember me an all my friends would leave school at dinner time on friday to go to the mall to play that for hrs till the mall closed, then we would go get drunk, wake up sat. to do it all over again, stupid ass teenagers)
and probably Doom, it got me hooked on shooter games and was pretty much the first pc game I ever played, and it also had a real cool Star Wars mod(or was that Doom2)