See, now you changed it. Now it's a "large library" instead of a "great library." I never disputed that games do exist on the system, you interpreted it too literally (or chose to since you're back pedaling at this point.) I don't care if you tell me games exist on the system, I care if you try to tell me those games are great and then pretend that's an objective statement.
Here is a list of scores on metacritic for all Vita games that have an average of at least 70/100 i.e 7/10. This is a good score for games to get. A lot of games in this list do not appeal to me but they clearly do appeal to others and this shows the range of good games the Vita has right now.
As I said, they might not appeal to you but that doesn't mean there aren't good/great/whatever games on the system
LIMBO - 90
Rayman Origins - 88
Machinarium - 88
Velocity Ultra - 88
LittleBigPlanet PS Vita - 88
Guacamelee! - 87
Tales From Space: Mutant Blobs Attack - 86
Sine Mora - 85
Mortal Kombat - 85
Sound Shapes - 84
Zero Escape: Virtue's Last Reward - 84
Lumines: Electronic Symphony - 83
Oddworld: Stranger's Wrath HD - 83
Gravity Rush - 83
BlazBlue: Continuum Shift Extend - 83
Super Stardust Delta - 82
Fuel Tiracas - 82
Metal Gear Solid HD Collection - 81
DJMAX Technika Tune - 81
Uncharted: Golden Abyss - 80
Dead or Alive 5 Plus - 80
Ultimate Marvel vs. Capcom 3 - 80
FIFA Soccer - 79
Atelier Totori Plus: The Adventurer of Arland - 79
Street Fighter X Tekken - 79
Need for Speed: Most Wanted - A Criterion Game - 79
Wipeout 2048 - 79
Knytt Underground - 79
Retro City Rampage - 79
Switch Galaxy - 79
Surge - 79
The Pinball Arcade - 79
MotorStorm RC - 78
Disgaea 3: Absence of Detention - 78
Thomas Was Alone - 78
SunFlowers - 78
Puddle - 77
Virtua Tennis 4: World Tour Edition - 77
Soul Sacrifice - 77
Plants vs. Zombies - 77
PulzAR - 77
MLB 12: The Show - 76
Hot Shots Golf: World Invitational - 76
Dokuro - 76
Rocketbirds: Hardboiled Chicken - 76
Hustle Kings - 75
Sonic & All-Stars Racing Transformed - 75
Frobisher Says! - 74
Jacob Jones and the Bigfoot Mystery: Episode One - A Bump in the Night - 74
When Vikings Attack! - 73
Haunt the House: Terrortown - 73
Ninja Gaiden Sigma Plus - 72
Smart as... - 72
Big Sky: Infinity - 71
Rymdkapsel - 71
Unit 13 - 71
Guilty Gear XX Accent Core Plus R - 71
Escape Plan - 71
Urban Trial Freestyle - 71
Assassin's Creed III: Liberation - 70
New Little King's Story - 70