The first game system owned in the family while I was born? Or the first one I received myself? The former was the NES, while the latter was the Original Game Boy. You know, the giant Geiger Counter that required 4 AA batteries and had poor scanning. It was big energy waster, but the games that it had back then were too great to pass up--Link's Awakening, SML 1&2, and, most recently before I received the Game Boy Color, Pokemon Red.