Despite being born in '83, our family never actually owned an NES, so the bulk of my early gaming years were on that Commodore 64 that I mentioned earlier. However, we did rent NES systems frequently (back then you could just go to the video rental store and rent whole systems, as well as VCRs and stuff) and I played the HECK out of Duck Hunt.
Also, my cousins had an NES, and GOOD FREAKING LUCK tearing me away from Mario 3 and the original Zelda whenever we went to visit. (I hadn't the faintest idea how to play Zelda, because I was far too young for it, but I played it anyway.)
I didn't really start console gaming until the SNES/Genesis era, though.