About 6 when my dad brought home his first 186 PC fron work (2Mhz IIRC! and 640Kb RAM!) and a copy of the original teris.
I then went through a phase where I had to code my own games in BASIC. Honestly.
I was never allowed near arcades or whatever. Played on a friends BBC Micro a bit. truly awful games like chucky egg.
Saved up for a C64, second hand. Loved "Operation Wulf", "Cyberdyne Warrior", "Creatures", "Arnie" and many more. I always craved a proper racing game. I had a Ferrari F1 game that took hours to load and was rubbish. One of my dads friends once brought over a monochrome laptop with a copy of "test drive" and I loved it.
Atari PC and Stunt driver was cool too.
A neighbour had an Amiga 1200 and Elite 2: Frontier and I was blown away by that. Used to get lost for hours in it.
Eventually the console age dawned and I got a SNES and Mariokart (bought it myself with christmas money against my parents wishes -£79.99 for the mario all-stars pack). I Still have it, hooked up to my 40" tv now! Games were £40-£60 so it was a really big deal aged 14 saving up for them. I could get maybe 1-2 games a year and relied on swaps and rentals to play more. Starfox was great too, and I loved Stunt race FX and Super Probotector, along wih Donkey Kong Country which I remember being a graphical benchmark.
Aged 17 I got a Playstation as I worked in a music store over summer. My parents didn't know, I had to hide it and only play at night which ruined my A-Levels.

Gran turismo was a gaming epiphany for me. A "true" simulator for cars. tomb raider, resident evil, loads of great games made possible by the power of that console. It genuinely was the shift of games out of the toy cupboard and into the mainstream.
Whoops. Started typing and forgot to stop!