Atari 2600 in 1979, my parents bought it for the house when my sister was 5 and I was 2. Played that all the way up to the SNES. I didn't get the original NES until I was a little older and bought it myself used. We ended up giving the 2600 away at some point but I have every console I have ever owned still with me.
As much as I loved the PS3/XB360 era of games, nothing beats the cartridge era of NES, Master System, Genesis, SNES, and even the NEC TurboGrafx. Outside of a handful of current games that I enjoy, I could do without just about everything beyond the early to mid 1990's 16-bit systems. Yeah, PS2 was cool as was Dreamcast but to me there were only a couple of games that I was really captivated by on those consoles.