Here's a list of the computers/consoles I've owned in my time, with the games that stand out in my memory (in rough order of ownership) :
"Bat and ball" console
Spectrum ZX81
Commdore Vic20 (I loved that mouse maze game, bit like Pac Man)
Commodore 64
Altered Beast
Spectrum 128
Final Fight
Amstrad CPC464 (green screen! :pp )
Dizzy series 
Robocop
Renegade 1,2,3
Chase HQ
ALL the Codemaster compilations like the Adventure series tapes.
Old PC
Kings Quest
Conan
Wolfenstein 3D!!!
Sega Master System
Alex Kidd
Mickey Mouse - Castle of Illusion
Atari 1024 STe
Onslaught!!! Anyone remember that?
Sega Megadrive
Sonic
Ecco 1
Taz! (stunning graphics)
Amiga 600
Syndicate - awesome!
Cannon Fodder
Superfrog
Speedball 2
Wrath of the Demon
Lemmings
Monkey Island 1
Playstation 1
Resident Evil, say no more...
Syndicate Wars
Tomb Raider 4
PS2
Gran Turismo 2, of course
GTA3
Atari Jaguar (bought 4 recently for £40 on ebay - sold for ~£50 each!!!)
Doom...
New PC
Ghost Recon
Call of Duty
I know I've left loads of games out...
I'm a bit of a fanatic though when it comes to consoles/computers and I did start collecting them aiming to own at least one mint version of each - sadly I had to sell my collection when I was skint.