Hello, you have asked me - which games need to be pathched - here is the list:
- Spoiler
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Clannad_Hikari_Mimamoru_Sakamichi_de_Joukan_JAP_PS P-STORMAN
Clannad_-_Hikari_Mimamoru_Sakamichi_de_Gekan_JPN_PSP-NRP
Classic_Dungeon_-_Fuyoku_no_Masoujin_JPN_READNFO_PSN_PSP-NRP
Classic_Dungeon_JPN_PSP-Caravan
Everybodys.Tennis.EUR.PSP-RANT
Everybodys_Tennis_ASiA_MULTi2_PSP-NRP
FairlyLife_MiracleDays_JPN_PSP-Caravan
Fullmetal.Alchemist.Brotherhood.EUR.PSP-DNL
Fullmetal_Alchemist_Brotherhood_EUR_FRENCH_PSP-ZER0
God_Eater_JPN_DEMO_PSP-Googlecus
God_Eater_JPN_PSP-Caravan
Harvest_Moon_Hero_of_Leaf_Valley_USA_PSP-PSPKiNG
Hisshou_Series_Portable_Vol_1_Evangelion_JPN_PSP-Caravan
Hot_Shots_Tennis_Get_A_Grip_USA_PSP-BAHAMUT
Jikkyou_Powerful_Pro_Yakyuu_2010_JPN_PSP-BAHAMUT
Katei_Kyoushi_Hitman_Reborn_Kiduna_no_Tag_Battle_J PN_PSP-Caravan
Kingdom_Hearts_Birth_by_Sleep_JPN_PSP-Caravan
Kiniro_no_Corda_3_JAP_PSP-STORMAN
Last_Ranker_JPN_PSP-Caravan
Lego_Harry_Potter_Years_1-4_USA_PSP-iND
MLB_10_The_Show_USA_PSP-PSPKiNG
Modnation_Racers_CHT_PSP-2CH
ModNation.Racers.EUR.PSP-GLoBAL
Modnation_Racers_USA_PSP-BAHAMUT
Naruto_Shippuden_Ultimate_Ninja_Heroes_3_EUR_PSP-ZER0
Naruto_Shippuden_Ultimate_Ninja_Heroes_3_USA_PSP-PSPKiNG
Osu_Misao_Maguro_Densetsu_Portable_JPN_PSP-Caravan
Power_Pro_Success_Legends_JPN_PSP-Caravan
Prince.of.Persia.The.Forgotten.Sands.EUR.PSP-GLoBAL
Prince_of_Persia_The_Forgotten_Sands_EUR_RUSSIAN_P SP-NRP
Pro_Yakyuu_Spirits_2010_JPN_PSP-BAHAMUT
Saki_Portable_JPN_PSP-TiANYA
Shin_Megami_Tensei_Persona_3_Portable_USA_PSP-PSPKiNG
The_Conveni_Portable_JPN_PSP-Caravan
The_King_of_Fighters_Portable_94_98_Chapter_of_Oro chi_JPN_PSP-Caravan
Ys_Felghana_no_Chikai_JPN_PSP-BAHAMUT
Zettai_Meikyuu_Grimm_JAP_PSP-STORMAN
Maybe it is not full, and maybe not each game from this list will start, but it will be easier no?

Sometimes the game of this list already has patch in it (you may see it if it has EBOOT.OLD in the SYSDIR) - you don't need to do something with it.
Sometimes it can be non-patched and decrypted. If you can't find "kernel_librar" for example it is decrypted - so you need something like Edecrypt for EBOOT.BIN & All prx....