Games that I have played and enjoyed:
(The asterisk denotes that I really enjoyed it, 2 means its a favourite.)

Atari 2600 Star Wars,
Asteroids (arcade* and atari 2600),
Space Invaders (arcade and atari 2600),
Battlezone (classic arcade),
Gorf,
Venture,
Zaxxon(Arcade and Colecovision as well as other systems),
Buck Rodgers (Coleco ADAM)
Destructor,
Pepper II,
Donkey Kong,
Track & Field (Arcade)
Contra (Arcade* and NES)
Ladybug,
Vanguard,
Dragon Spirit (Arcade* and TG-16),
Splatterhouse 1 & 2 (Arcade**, TG-16, Genesis),
Pac-Man,
Ms. Pac-Man,
Tron (arcade),
Discs of Tron (Arcade)
Kung Fu,
Castlevania 1*, 2*, 3*, 4, Rondo of blood, Symphony of the Night**
Karate Champ*(Arcade),
The Legend of Zelda**,
Zelda 2: The Adventure of Link*
Super Mario Brothers 2 (US Release of Doki Doki Panic!)
Super Mario Brothers 3
Metroid,
Batman,
Super C (arcade* and NES),
Gradius,
Life Force,
Mega Man 1-3
Strider NES and Arcade,
Festers Quest,
Blaster Master,
Bionic Commando(Arcade and NES**),
Bionic Commando: Rearmed*
Metal Gear* (US release Ultra Games NES),
Snake's Revenge (metal gear 2? NES),
Skate or Die 1 & 2
Kirby's Adventure* (NES)
Descent 1-3**
Super Mario World,
Super Metroid**,
Cybernator,
Metal Warriors,
Mega Man X*,
Mega Man X 2,
Chrono Trigger,
The Legend of Zelda: A Link to the Past*
Earthworm Jim,
MK 2 (Arcade* and SNES)
Killer Instinct (Arcade and SNES)
Star Fox (N64 and SNES)
Ghosts n' Goblins (arcade, NES, and SNES)
Demon's Crest**
Final Fantasy 7**
Resident Evil 1-4 (I think that this series gets more strange as time goes on)
Gears of War (PC)
Castle Crashers*
Bionic Commando Rearmed (PS3)
Alien Homnid
Dead Space*
Grand Theft Auto 1-4 (Yes, all of them including the London spin off packaged with GTA1 and 2. mostly on the PlayStation)
Dead Rising
The Soul Edge/Caliber series. (Arcade, PSX, Dreamcast, Xbox, GCN, PS3)
Ikaruga
Persona 4,


~More to come~