Commodore 64 for me as well. Can't remember which one was the first for me either. Maybe Giana Sisters or Usagi Yojimbo. We had tons of floppies with games and large printouts showing which game was where.
When my father got a new computer I got to have the C64 in my room, along with an old TV as a monitor, which I was only allowed to use for the computer. My brother tried to warn my parents that I would just get an antenna cable and use it to watch TV but they didn't believe him.
Of course I did get the cable and through the way our in-house cabling worked I could also watch what my brother watched on his VCR. I really miss his BMX videos, they were great. That way I was also able to watch the Street Fighter 2 anime when I was much too young.