Another person whose first experience was probably that game that you plugged into the TV that said you could play tennis, football, basketball, etc. but basically they were all just slight variations of Pong. But I was very young then and can barely remember it.
My first real experience with a computer would have been a Commodore 64 - best game on that was Epyx's Summer Games II (still a great game now, even though it came out in 1985!). Kept that until the mid-nineties, but at the same time went down the console route by getting first a Sega Master System, then a PC Engine (a Japanese console that never offically came out in Europe, was sometimes also known as a TurboGrafx), then a Sega Megadrive.
The C64 was then replaced by an Amiga 1200 (the first machine I bought myself rather than being a gift from my parents), before I eventually bought a PC in the early 2000s. My Dad (who was a keen gamer and quite happy to indulge my pastime as he got as much out of it as I did!) had bought himself a Sega Saturn AND a Sony Playstation by this time, so I did get a fair amount of play on those up until the point where I moved into my own place.
Since then, haven't owned a console of my own, just replaced / upgraded my PC numerous times. Basically at any point where my PC is up to spec, then I'd be playing the latest games on that, but when it wasn't (which was most of the time to be honest), I'd just replay old games my system could still cope with until I'd saved up enough to upgrade again!