When I was born, my parents (or, to be more precise, my sister who is 8 years older than me) already owned a Philips G7000 Videopac (in the US known as the Magnavox Odyssey˛). However, I never "inherited" the system in that sense, since it was eventually tossed out when I was about 4 years old - only a few cartridges that were forgotten remained in my possession (I think they are in storage somewhere). I inherited the family Commodore 64 eventually.
I still got my first console, that me and my other sister (2 years older than me) got for Christmas '88, a Japanese import Sega Mega Drive.
Oh, and my parents weren't gamers - they considered computers and consoles to be toys for kids only...