Thought I'd get some discussion going. Dangerous stuff.
I'll bring some suggestions for each year, but feel free to post which year was your favourite and list your favourite games from that year!
2012 notable software
Assassin's Creed 3: Liberation
Gravity Rush
Hot Shots Golf: World Invitational
LittleBigPlanet PS Vita
Persona 4: Golden
Need for Speed: Most Wanted
PlayStation All-Stars Battle Royale
Uncharted Golden Abyss
Unit 13
WipEout 2048
2013 notable software
Atelier Totori Plus
Batman Arkham Origins Blackgate
Dragon's Crown
Hotline Miami
Killzone Mercenary
Soul Sacrifice
Spelunky
Tearaway
The Walking Dead: Season One
Ys: Memories of Celceta
2014 notable software
Borderlands 2
DanganRonpa: Trigger Happy Havoc
Final Fantasy X/X2 HD Remaster
Freedom Wars
Hatsune Miku Project Diva f
Hyperdimension Neptunia Re;birth 1
Minecraft
Sword Art Online: Hollow Fragment
Tales of Hearts R
Velocity 2x
2015 notable software
Bastion
Grim Fandango Remastered
Helldivers
J-Stars Victory Vs.
Legend of Heroes: Trails in the Cold Steel
Oreshika: Tainted Bloodlines
Persona 4: Dancing All Night
Resident Evil Revelations 2
Steins;gate
Toukiden Kiwami