I'm 41 now and I’ve had almost all the consoles and computers released, In my opinion the biggest leap was when the PS1 and Saturn were released, I saw wipeout and immediately bought a PS1 and sat mesmerised for hours at a time by the awesome graphics and sound and to this day I’m a massive Wipeout fan.
This is my little list of standout games through the generations.
Atari 2600 - Phoenix (I remember it being as good as the arcade version)
Spectrum - Alien 8 (all the "Ultimate Play The Game" games really)
C64 - Impossible Mission (stay a while, stay forever!!!)
C64 - Uridium (Awesome Graphics)
Atari ST - Damocles (The feeling of being able to roam anyware)
Amiga - Shadow of the beast (Amazing graphics with parralax scrolling)
SNES - FZero (Fast mode 7 graphics)
SNES - Donkey Kong Country (just when you thought graphics couldn't get any better)
PS1 - Wipeout (Just WoW)
Saturn - Sega Rally (A truly great arcade conversion that i still enjoy playing)
N64 - Mario Kart (it goes proper 3D and all the better for it)
N64 - Super Mario 64 (Changed platformers forever)
PS2 - Ico (Just beautiful)
PS2 - Gran Turismo 4 (Still looks good today)
Dreamcast - Jet Grind Radio (new style of graphics)
Dreamcast - Soul Caliber (Amazing looking fighter)
XBOX - XBMC (I know it's odd but XBMC is the greatest thing to have happened to it)
XBOX - Halo (The start of truly epic FPS on consoles)
XBOX 360 - Gears of War (Graphics take another step up)
PS3 - Wipeout HD (OMG full 1080p at 60fps with online play)
PC - Counter Strike (great competitive play that as taken up more of my time than any other game)
PC - Half Life 1&2 (Fantastic Story and great graphics)PC - Battlefield 1942 (Huge multiplayer maps, Drive tanks, fly planes and the excellent Desert Combat Mod)
I have left out consoles like the NES, Master System, Megadrive , Hand held’s and computers like the Atari 800XL, BBC B, Dragon 32 etc. because while I’ve enjoyed them all there not as memorable. There’s also plenty more games that i could have mentioned as well as all those Amazing demo’s and intro’s on the Amiga that were often better than the game they preceded

Think i was about 10 when we got our first games machine a (Binatone) quickly followed by a Acetronic.
Here’s to another 30 years of gaming (hopefully more!)