No, probably not. Zelda Ocarina of Time is stock answer for my favorite game, 'cause nostalgia x great game = getouttaherecriticalthinking. Beyond that it's a jumble of other games.
I know my #1 favorites in various genre. Chrono Trigger is my favorite jrpg. Project Gotham Racing 2 is my favorite racing game. Virtua Fighter 4 Evo is my favorite 3D fighting game. Full Throttle or Last Express are my favorite adventure games. Stuff like that.
Yeah, I'd rather do something like this. Favorites by genre:
2D Platformer - Super Mario World
3D Platformer - Super Mario 3D Land
RPG (Japanese) - Phantasy Star 2
RPG (Western) - Ultima 4
RPG (Action) - Zelda: LTTP
2D Fighter - Street Fighter 3: Third Strike
3D Fighter - Soul Calibur
2D Run 'n Gun - Gunstar Heroes
Overhead Run 'n Gun - MERCS
Metroidvania - SOTN
Rail Shooter - Rez
First Person Shooter - Unreal Tournament
Third Person Shooter - Vanquish
2D Beat Em Up - Streets of Rage 2
3D Character Action/Stylish Action - Bayonetta
Rhythm - DJ Hero 2
Real Time Strategy - Total Annihilation
Turn Based Strategy/SRPG - Langrisser 4
Sim - Sim City 2000
Sports - NHL '94
Stealth - Metal Gear Solid 3
Racing (Traditional) - Daytona USA
Racing (Futuristic) - Wipeout HD
Maze - Fantasy Zone: The Maze
Puzzle (Arcade) - Tetris Attack
Puzzle (Logic) - Adventures of Lolo 3
Tower Defense - Protect Me Knight
Pinball (Videogame) - Time Cruise
Pinball (Real) - Whirlwind
Sandbox - Dead Rising
Mobile/Social - Draw Something
Point n Click Adventure - King's Quest 6
Text Adventure - only really played Zork 1 so I guess that?
Board/Parlor Game - Fortune Street (the DQ/Mario one for Wii)
Car Combat - Twisted Metal 2 (not that there's much of a selection)
Visual Novel - 999 (will probably change once I try out Steins;Gate)
Dating Sim - never played one, uhh Persona 3 would be the closest I guess?
MMO - fuck if I know, I don't play them
MOBA - never played one
Roguelike - FTL
Marble-Roller - Kororinpa: Marble Mania