To keep this somewhat easy, lists are limited to Xbox One/Xbox 360, PS4/Ps3, Wii U/Wii, and PC. No consoles older than listed. Otherwise we'd all be here a while. I'll stick to listing my top 10 Favorite Xbox One and PS4 games I've played.
XBOX ONE
1. Borderlands 2
2. Doom
3. Fallout 4
4. Gears of War: Ultimate Edition
5. Destiny
6. Star Wars: Battlefront
7. Titanfall
8. Tom Clancy's The Division
9. Call of Duty: Black Ops 3
10. Halo: The Master Chief Collection
PS4 (under my PSN ID: Cinemaniac388)
1. The Last of Us: Remastered
2. Borderlands 2
3. Killzone: Shadow Fall
4. inFAMOUS: Second Son
5. Wolfenstein: The New Order
6. Destiny
7. Middle Earth: Shadow of Mordor
8. Sniper Elite 3
9. Knack
10. LEGO Marvel Super Heroes
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[b][u]SNES[/u][/b]: 1 - Super Mario world 2: Yoshi's Island 2 - F-Zero 3 - Super Mario All Stars 4 - Dragon Ball Z: Hyper Dimension [b][u]N64[/u][/b]: 1 - Banjo-Tooie 2 - Road Rash 64 3 - Mario Kart 64 4 - Super Smash Bros. 5 - Diddy Kong Racing 6 - Lylat Wars 7 - Paper Mario 8 - The Legend of Zelda: Ocarina of Time 9 - F-Zero X (really should be higher tbh) 10 - Mario Party 3/San Francisco Rush 2049/Destruction Derby (tie) [b][u]GameCube[/u][/b]: 1 - Super Smash Bros. Melee 2 - Paper Mario: Thousand Year Door 3 - Hot Wheels: Velocity X 4 - Super Mario Sunshine 5 - Mario Kart: Double Dash [b][u]Wii-U[/u][/b]: 1 - The Legend of Zelda: Twilight Princess (I know it's on GC/Wii but I played it on this console) 2 - Mario Kart 8 3 - Super Smash Bros. 4 4 - Super Mario 3D world 5 - Rayman Legends 6 - Splatoon 7 - Super Smash Bros. Project M [b][u]Xbox[/u][/b]: 1 - Midtown Madness 3 2 - Halo: Combat Evolved (and 1.5) 3 - Need for Speed: Underground 2 4 - Halo 2 5 - Need for Speed: Underground 6 - Project Gotham Racing 2 7 - Rayman 3: Hoodlum Havoc 8 - Outlaw Golf 9 - SCAR [b][u]Xbox 360[/u][/b]: 1 - Halo 3 2 - Project Gotham Racing 3 3 - Heavy Weapon 4 - Halo: Reach 5 - Army of Two: The 40th day 6 - Doom 3 BFG edition 7 - Kameo 8 - Forza Motorsport 2 9 - Viva Pinata 10 - Geometry Wars [b][u]PC[/u][/b]: 1 - Halo Custom Edition 2 - Tony Hawk Pro Skater 1/2/3 3 - Rayman 2: The Great Escape 4 - Unreal Tournament '99/2003 5 - Pokemon Crater (that shit was so cash back in the mid 2000s) 6 - Ski 7 - Dirt Rally 8 - Lego Racers 9 - Enemy Territory: Quake Wars 10 - Gene Rally