In Chronological order...
CONTRA (nes)

One of the first games where you and your
friends could blow shit up together rather
than trying to kill each other all the time.
Also introduced the world to
cheat codes..
Metroid II The Return of Samus (Gameboy)

Made gameboy thrilling while also resurrecting an under appreciated NES series from the 1980s..
Super Mario World (SNES)
It seems this game introduced America to the SNES
Street Fighter II Turbo (SNES)

Contra was fighting together, Street Fighter
brought fighting against each other outside
of the liquor store or video arcade and
into your friends' bedroom after school
and you didn't need any fucking quarters!