Most of the arena-based fighting games on PSP
Tekken: Dark Resurrection
Tekken 6
Def Jam: Fight for Ny
Dissidia: Final Fantasy
Dissidia 012: Duodecim Final Fantasy
Soul Calibur: Broken Destiny
Guilty Gear: Judgement
Full Metal Alchemist: Brotherhood
Blazblue: Portable
Blazblue: Continuum Shift II
Street Fighter: Alpha 3 Max
Naruto Shippuden Legends Akatsuki Rising
Naruto: Ultimate Ninja Heroes
Naruto: Ultimate Ninja Heroes 2: The Phantom Fortress
Naruto Shippuden: Ultimate Ninja Heroes 3
Naruto Shippuden: Ultimate Ninja Impact
WWE All Stars
Smackdown Vs Raw (multiple)
Dragon Ball Z: Tenkaichi Tag Team
Dragon Ball Z: Shin Budokai
Dragon Ball Z: Shin Budokai - Another Road
UFC Undisputed
TNA Impact: Cross The Line
Fate / Unlimited Codes
The King of Fighters Collection: The Orochi Saga
Legend of the Dragon
The Con
Rocky Balboa
Power Stone Collection
Mortal Kombat Unchained
Darkstalkers Chronicles: The Chaos Tower
Marvel Nemesis: Rise of the Imperfects
Games omitted include Steambot Chronicles, The Warriors, Kenka Bancho: Badass Rumble, Marvel Ultimate Alliance, Undead Knights, Dynasty Warriors (these games are more open)