Well, Being born in 1987 during the birth/growing stage of the NES, I was "playing" games as a baby. Y'know, holding controllers and imitating whoever else was playing. But my earliest recollection of games is the NES. Mario 1,3, and Tiny Toons is primarily what I owned and played. I would rent Mario 2 and Legend of Zelda from our local store (pre-blockbuster, Viva La Video. Shady place with a "curtained area"). I would also borrow Megaman 2 and 3 from my Uncle Rob.
These are all my gaming foundation, and remember so clearly how I would play these games on the living room floor. I remember asking my sister to help with falling in quicksand in Tiny Toons because I couldn't press the jump button fast enough. The first time I could do it without her help, I was so excited. My mother is the one who showed me the secret 1-up in Mario 3 in the very first leve (flying up the coin stream over the first pit). Stories of how my father opened the NES box before wrapping it for Christmas so he could play Mario 1 all into the night.
All of these things are what I remember. My first game is the whole collection of these games. Later on I would watch the original Final Fantasy from my cousin who was playing it at my grandmothers. It seemed SO COOL at the time, being able to go on an adventure. I couldn't play it, I couldn't read it all that well being like 3 or so. But I'll always remember watching him fight Cid and his pirate crew, then taking off in his boat.