I'll post everything I know about from roughly pre-Xbox 360 era.
NOTE: There's a LOT missing from the PC list, because it's all on Steam (either old games ported to Steam or old games connected as Non-Steam Games) and I haven't been bothered to go through that list recently. Also, there might be some games on here that I got *after* the Xbox 360 (December 2008). I just kinda hastily pasted this list from a mega document about my history.
PS1 - SCPH-9002
-Formula 1 '98
-Jeremy McGrath Supercross 2000 (6th Birthday, 2000)
-Rugrats Search For Reptar (2000 or later)
-Rugrats Studio Tour (2000 or later, came from Video Ezy)
-V-Rally: Championship Edition (Platinum) (Could have sworn it was '98 Championship Edition)
-Star Wars: Episode I The Phantom Menace (Demo) - Australian Playstation Magazine (1999-08-30) + Full Game (via Nathaniel)
-Destruction Derby 2 (Demo?)
-Hot Wheels: Turbo Racing
-Dave PS1 FPS game - Medal of Honor 1/Disruptor/Armorines: Project S.W.A.T.
-Gran Turismo (demo version) (Christmas 1998, was given away with PS1 consoles!) + Gran Turismo (full version)
-Gran Turismo 2
-Harry Potter & the Philosopher's Stone
-Harry Poter & the Chamber of Secrets (played on an emulator muuuuch later, but did I ever play it on a PS1?)
-Inspector Gadget: Gadget's Crazy Maze
-Ape Escape
-Armorines: Project S.W.A.T. (might be Medal of Honor 1/Disruptor)
-Stock Car Racer
PS2 Slim - SCPH-70002
-Spyro: Enter the Dragonfly/A Hero's Tail - One at Brendan's House, One at Lollipops Playland
-Crash Bandicoot: Wrath of Cortex
-Ricky Ponting Internation Cricket 2005
-LEGO Star Wars
-LEGO Star Wars II: The Original Saga
-Ratchet & Clank 3: Up Your Arsenal
-Ratchet & Clank: Gladiator
-Ratchet & Clank 2: Locked & Loaded (Owned this one by 11 Nov 2012)
-Ratchet & Clank (Owned this some time after 11 Nov 2012)
-Gran Turismo 3: ASpec
-TOCA Race Driver 2 (V8 Supercars 2 in Australia)
-Need for Speed: Most Wanted - Black Edition
-Singstar Pop
-Singstar Rocks
-Burnout 3: Takedown
Xbox - Unknown
-RalliSport Challenge 2
-Star Wars: Battlefront
-Star Wars: Battlefront 2
-Halo 2
-Timesplitters 2
-Armed and Dangerous
-Turok: Evolution
-Super Monkey Ball Deluxe
-The Elder Scrolls III: Morrowind
-Marvel Ultimate Alliance 1/2
-KotOR 1 - Martin's House
-The Simpsons: Hit & Run - Martin's House
Nintendo Gamecube - Unknown
-Worms 3D
DOS
-My Favorite Monster
-Kids on Site
PC
-Thomas and Friends: The Great Festival Adventure
-Juiced Demo
-Trilby: 5 Days a Stranger
-Kerbal Space Program
-The Wolf Among Us
-Halo PC/CE
-Halo 2 Vista
-Kid's Craze Race Cars (Toyland Racing, Tonka Raceway, LEGO Racers 2)
-Kid's Craze LEGO (LEGO Island Xtreme Stunts, LEGO LOCO, LEGO Rock Raiders)
-K-Zone Rocks (Action Man Destruction X (Demo), Ratbags at Windy Towers (Demo), Monopoly Tycoon (Demo))
-Learning Land:
At the Playground
Biff's Birthday
At the Funfair
Let's go shopping
Tim's got a cold
Seaside Fun
In the garden
Down on the farm
Let's Go Shopping
-Crayola Make A Masterpiece
-Fatty Bear's Birthday Surprise
-Pajama Sam: No Need to Hide When it's Dark Outside
-Blue's Clues: Blue's Birthday Adventure
-Putt-Putt Goes To The Moon
-Putt-Putt Joins the Parade
-Putt-Putt Enters the Race
-Humongous Entertainment's Interactive Demo Sampler:
Pajama Sam In No Need to Hide When It's Dark Outside
Freddi Fish 2: The Case of the Haunted Schoolhouse
Putt-Putt Saves the Zoo
Freddi Fish and the Case of the Missing Kelp Seeds
Let's Explore the Airport
Spy Fox in Dry Cereal (Demo)
-Tonka Search & Rescue
-Tonka Raceway
-Tonka Garage
-Tonka Workshop
-Tonka Dig n' Rigs
-Zelda Classic
-SpongeBob SquarePants: Lights, Camera, Pants!
-Facade
-ROM CHECK FAIL
-Microsoft Flight Simulator X Gold Edition
-Trackmania Nations Forever
-V8 Supercars Australia Race Driver
-Race Driver 2 (Demo/Full Game)
-Jurassic Park: Operation Genesis
-Hard Truck: 18 Wheels of Steel
-Freespace 2
-N
-Sid Meier's Pirates! Demo
-Sam & Max: Hit the Road
-Hot Wheels: Mechanix
-Matchbox: Emergency Patrol
-Matchbox Cross Town Heroes
-Need for Speed Underground
-Need for Speed Underground 2
-Need for Speed III: Hot Pursuit
-Need for Speed: Hot Pursuit 2
-Need for Speed Most Wanted
-Trainz Simulator 2009
-The Sims
-The Sims 2 Ultimate Edition (+Retail CD and OFB Expansion)
-Jurassic Park III: Danger Zone!
-Treasure Cove!
-Babyz
-Cashflow the E-Game
-Cashflow for Kids
-Lilo & Stitch: Trouble in Paradise
-Monsters Inc: Bowling for Screams
-America's Army: Special Forces (Overmatch)
-Savage: Battle for Newerth
-F.E.A.R. Extraction Point (Demo)
-Rugrats Go Wild
-CrCIA Team: Ambulance Driver
-JumpStart Animal Adventures
-Blinky Bill Preview CD-ROM (Blinky Bill Ghost Cave + Blinky Bill's Extraordinary Balloon Adventure + Blinky Bill and the Magician + Blinky Bull's Print and Play + Play and Learn with Blinky Bill)
-JumpStart Explorers
-Kellog's LCM Shrek 2 Adventure Disc
-Nodtronics Racing Trilogy (Highway Racing + Midnight Street Racing + Speed Thief)
-The Wild Thornberrys Rambler
-The Movies
-Midtown Madness 2
-Rugrats in Paris
-Flyff
-Bus Driver
-Stuart Little: Big City Adventures
-Max & Marie Go Shopping
-Lizzie Mcguire: Fashion All Over It
-International Cricket Captain
-Kid Pix Deluxe 3
-Play and Learn: Science Experiments
-Bad Toys 3D
-LEGOLAND
-LEGO Island (German)
-LEGO Creator
-LEGO Rock Raiders
-LEGO The Lord of the Rings
-LEGO Alpha Team
-LEGO Racers (2 Different Discs)
-LEGO Stunt Rally + Demo
-LEGO 10-in-1 Pack (LEGO Racers 2, LEGO Island 2, LEGO Island Xtreme Stunts, LEGO Drome Racers, LEGO Bionicle, LEGO LOCO, LEGO Football Mania, LEGO Galidor, LEGO Chess, LEGO Creator)
-LEGO Creator: Knights Kingdom Demo (From where?)