I might edit this as I remember more games. These are games that also might have been owned/shared by family. I won't list games I haven't played/watched however. Games we own or have owned: (also added comments, fun to make, fun to read< WHY NOT)
edit: Also new feature! * = marks games i think we currently have
Super Nintendo
Super Mario World (MOM PLAYED THIS)
Super Mario All Stars
Super Mario Kart (MOM PLAYED THIS)
Yoshi's Island
Mortal Kombat 2
Street Fighter 2 Turbo
Top Gear 2 (MOM PLAYED THIS)
Ren and Stimpy Veediots (creepy but not bad at all)
Mega Man X, Mega Man X2
Magical Quest starring Mickey Mouse
Final Fantasy 3
Secret of Mana
Hyperzone (think Star Fox but with mode 7 instead of polygons, quite cool)
Star Fox
F-Zero
Zelda Link to the Past (win)
Super Metroid (win)
Pac-Attack (MOM PLAYED THIS)
NBA Jam
Donkey Kong Country
Saturn
Mega Man X4
Mega Man 8 (beautiful)
Sonic 3D Blast (ripoff, turns out Gen version was cooler)
Nights* (CHANGED MY LIFE lol)
Christmas Nights
Sonic Jam (first time I owned the originals, all 4)
Burning Rangers
Wipeout, Sega Touring Car (graphics so bad they're unplayable)
Pro Pinball (one, count'em, ONE TABLE, still prob one of the best pinball vg's I played)
Darius Gaiden (best 2D shooter I've played, profoundly cool)
Sega Rally
Daytona USA*, Daytona USA Circuit Edition
Last Bronx*, Virtua Fighter 2* (lame, I got these part of a package)
Quake, Duke Nukem 3D (unlocking Death Tank, add multi tap ftw)
Sonic R
Marvel vs. Street Fighter (import via Action Replay cart, making the included ram car redundant)
Playstation
Air Combat*
Cybersled* (stripped down arcade version, could easily have been on SNES)
Ridge Racer*, Ridge Racer Revolution*
Rage Racer*
Ridge Racer Type 4* (gay)
Raystorm*
Destruction Derby*, Destruction Derby 2*
Final Fantasy 7*, 8*, 9* (didnt play 9, liked 8 particularly, never completed any of them tho)
Metal Gear Solid*
Mortal Kombat Trilogy
Wipeout 3* ($7 new at TRU, great game)
Doom
Mega Man X4, X5*, X6* (life-changingly good, crushing disappointment, punch in the balls)
Tekken, Tekken 3
Gran Turismo, Gran Turismo 2 (marked the beginning of the degeneration of racing games, good to have played for reference I guess)
KOF '99
Castlevania Symphony of the Night (srsly love the dialogue)
Final Fantasy Tactics (never completed it)
Final Fantasy compilation (completed FF5 somehow)
Namco Museum Vol 3
Theme Hospital (getting PC games on console is fail, in retrospect)
Resident Evil (we never completed this)
Nintendo 64
Super Mario 64
Donkey Kong 64 (what a waste)
Conker's Bad Fur Day (I hate Rare)
Star Fox 64*
Zelda Ocarina of Time, Majora's Mask (never completed either)
F-Zero X
Pokemon Puzzle League* <3
Goldeneye, Perfect Dark* (both overrated imho)
Mario Kart 64*
Mario Party 3
Tetrisphere (ew. actually I never even understood how this game works!)
Castlevania (only beat first level, didnt seem too bad tho)
Yoshi Story (I thought this was cute and enjoyed this! I once wished it was on GBA)
Neo Geo Pocket Color
Puzzle Bobble
Sonic Pocket Adventure
SNK vs. Capcom (hated this)
Dreamcast
Sonic Adventure* (love)
Hydro Thunder* (awesome game! but doesn't end well. The secret courses are obnoxious.)
18 Wheeler Pro Trucker*
Daytona USA*
Sega Rally 2*
Quake 3 (played online via Seganet. lol sigh)
Marvel vs Capcom
Shenmue* (never completed it but bro has)
Resident Evil Code Veronica (we got stuck at that one boss without any weapons, never completed this)
Space Channel 5
Chu Chu Rocket
Playstation 2
Armored Core 2, 3*, Silent Line* (lol not so bad, completed 3 + SL)
Tekken Tag, Tekken 4* (bro got Tag, but leave it to me to get 4)
The Bouncer
Final Fantasy 10* (like the story, but no use for the gameplay)
Disgaea* (cute story, but didn't actually play)
ZOE
Metal Gear Solid 2, 3* (liked the stories a lot, but no use for the gameplay)
Ridge Racer 5 (got years after launch, was appalled at how awesome it was)
Gran Turismo 3
Tokyo Extreme Racer 2*
Dark Cloud
Ring of Red
Sonic Heroes (re-got on GCN)
R: Racing Evolution ($9 to find out if it's Ridge Racer, and oh god, it's def not)
Capcom vs. SNK 2*
Namco Museum, and another Namco compilation* (because blue-disc Museum wont work and yahoo sis wanted Ms Pac Man)
Twisted Metal Black*
Mega Man X7 (could have been ported straight to Saturn)
Devil May Cry, Devil May Cry 2 (lol, pwnt by Capcom once again)
Grand Theft Auto 3, Grand Theft Auto Vice City (woow, Vice City has such shit graphics)
Shinobi, Nightshade (Shinobi was cool, pro was annoyed at how corny/inferior Nightshade was)
Gamecube
Mario Sunshine* (snore)
Mario Kart Double Dash*
Smash Bros Melee
Star Wars Rogue Squadron
Star Fox Adventures* (like $12 used, got this only because I'm a fan)
Star Fox Assault* (sigh)
Sonic Adventure 2 Battle* (atm was indifferent to Sonic series when I got this for casual play, changed everything)
Sonic Adventure DX* (in retrospect this game sucks, got this anyway to play on here)
Sonic Heroes* (re-got recently to play on here instead of PS2 version)
Shadow the Hedgehog* (I totally enjoyed this)
Sonic Riders*
F-Zero GX* (we attained a perfet save on this a long time ago)
Metroid Prime* (got $7 used on account of nephew, about 3 hours into it we stopped caring. my bro beat it)
Timesplitters 2* (oh god, multiplayer worse than Perfect Dark)
Animal Crossing (was really fun at first, got boring fast)
Xbox (had one for a short time, blame GameTZ.com. In fact blame half of this list on GameTZ)
Rallisport Challenge (this was pretty nice)
Tony Hawk Pro Skater 2X (nice)
Halo (decent, at least the controls are usable)
Jet Set Radio Future
Xbox 360
Ridge Racer 6*
Perfect Dark Zero*
Game Boy/Color
Tetris
Kirby's Pinball Land (pwn)
Solarstrike or something (2D shooter, quite ok)
Super Mario Land 2
Pokemon, Pokemon 2 (waste of time)
Zelda Link's Awakening
Super Mario Bros DX
Game Boy Advance
F-Zero Maximum Velocity (one of 3 launch titles I got)
Super Mario Advance: Mario Bros 2 (got at launch, enjoyable)
Super Mario Advance: Mario Bros 3* (sister's purchase)
Castlevania Circle of the Moon (fave Castlevania)
Megaman Battle Network (back when it was indie. I even completed this)[/i]
Mega Man Zero* (great game despite resentment for X series being ruined)
Super Bust-A-Move (didnt think they could screw up Puzzle Bobble, NGPC version > this)
Final Fantasy Tactics Advance* (bro's purchase, but I got bored of this years ago on PSX)
F-Zero GP Legend
Fire Emblem* (nephew's purchase, didn't go far with either of us)
Pac Man Collection* (MOM PLAYS THIS)
Metroid Fusion* (hot)
NES Castlevania*, NES Donkey Kong* (sister's sappy purchase)
Doom
Mario Kart
PC
Sonic CD (makes sense)
Command & Conquer DOS
Star Wars X-Wing (we were somehow hooked o_o)
Star Wars Dark Forces (one of the best FPS's)
Dark Forces 2 Jedi Knight (didnt do it for me)
Red Alert
Red Alert 2*, + Yuri's Revenge* (awesome)
Tiberian Sun*, + Firestorm* (awesome)
C&C Renegade*
C&C Generals*
Emperor: Battle for Dune* (C&C variant by the makers of C&C, who of course made a Dune RTS first)
Starcraft, Starcraft expansion* (chat bud urged me to try this since I liked C&C a lot. It was neat though)
Quake 2 (I hated single-player, but spent many hours online)
Doom, Doom 2 (yes, Yes)
Duke Nukem 3D (YES)
Rainbow Six Rogue Spear (bro's purchase)
Sim City 2000
Sim City 3000*
* game we have ATM