This is probably quite close to what I've completed (or what I'd class as completed - some of these weren't done to 100% everything unlocked). There's a fair few games I've started and never finished. Also not many recent games on the list.
Aladdin (SNES)
Alien 3 (SNES)
Banjo-Kazooie
Castlevania: Symphony of the Night
Castlevania: Legacy of Darkness
Castlevania: Circle of the Moon
Castlevania: Harmony of Dissonance
Castlevania: Aria of Sorrow
Castlevania: Dawn of Sorrow
Castlevania: Portrait of Ruin
Crash Bandicoot
Crash Bandicoot 2
Crash Bandicoot 3
Die Hard Vendetta
Dino Crisis
Dino Crisis 2
Donkey Kong Country
Donkey Kong Country 2
Donkey Kong Country 3
Donkey Kong 64
Doom (original)
Doom 2
Eternal Darkness
Exhumed / Powerslave (PS1)
Gex: Enter the Gecko
Gizmos and Gadgets
Goldeneye
Grand Theft Auto
Grayland
Heaven Dust
Hotel Dusk
Indiana Jones and the Last Crusade (SMS)
Jurassic Park (SNES)
Kirby Super Star
Last Window
Luigi's Mansion (GCN)
Medal of Honor: Rising Sun
Metal Gear Solid
New Super Lucky's Tale
New Super Mario Bros
New Super Mario Bros Wii
New Super Mario Bros 2
New Super Mario Bros U
New Super Luigi U
Okami
Paper Mario
Paper Mario: The Thousand Year Door
Resident Evil 0
Resident Evil
Resident Evil Remake
Resident Evil 2 (original)
Resident Evil 3 (original)
Resident Evil 4
Resident Evil: Code Veronica
Resident Evil Survivor
Sonic the Hedgehog (SMS and Gen)
Sonic the Hedgehog 2 (SMS and Gen)
Sonic the Hedgehog 3 & Knuckles
Sonic Chaos
Sonic Adventure 2
South Park: The Stick of Truth
Spyro the Dragon (original)
Star Fox Adventures
Super Mario Bros
Super Mario Bros 2
Super Marios 3
Super Mario Bros The Lost Levels
Super Mario World
Super Mario 64
Super Mario Sunshine
Super Mario Galaxy
Super Mario Galaxy 2
Super Mario 3D Land
Super Mario 3D World
Super Mario Odyssey
The Legend of Zelda
The Legend of Zelda: A Link to the Past
The Legend of Zelda: Link's Awakening (GB)
The Legend of Zelda: Ocarina of Time
The Legend of Zelda: Majora's Mask
The Legend of Zelda: Oracle of Ages
The Legend of Zelda: Oracle of Seasons
The Legend of Zelda: The Wind Waker
The Legend of Zelda: Minish Cap
The Legend of Zelda: Twilight Princess
The Legend of Zelda: Skyward Sword
The Legend of Zelda: A Link Between Worlds
The Legend of Zelda: Breath of the Wild
Tiny Toons: Buster Busts Loose
Tomb Raider (PS1)
Tomb Raider II
Tomb Raider III
Tomb Raider: The Last Revelation
Tomb Raider Legend
Tomb Raider Anniversary
Tomb Raider Underworld
Tony Hawk
Tony Hawk 2
Tony Hawk 3
Turtles in Time
Untitled Goose Game
Yoshi's Island
Yoshi's Story
Yoshi's Island DS
Yoshi's New Island
Yoshi's Woolly World
Yoshi's Crafted World