From WikiTemp, the GBAtemp wiki

They both have one thing in common. They are designed to allow the user to play games up to 6.20, and they may not always work. If you have tested a game, please add it to the wiki table below specifying which PSP Model you have, firmware, game (CleanISO/ModifiedISO), whether it works or not and maybe some notes.

Prometheus and m33620 plugin Compatibility List
PSP Model Firmware Plugin and version Game [Clean ISO/Modified ISO] Works? Notes
PSP 1000 5.00 M33-6 m33620 plugin Hatsune_Miku_Project_Diva_Tsuika_Gakkyoku_Shuu_Delux_Pack_1_JPN_P SN_PSP-NRP [Clean] Works Works Flawlessly
PSP 2000 5.00 M33-? m33620 plugin Metal_Gear_Solid_Peace_Walker_USA_PSP-pSyPSP [Clean?] Works Finished Chapter 4 w/o encountering even 1 error nor crash.
PSP 2000 5.50 Prometheus v4 Naruto_Shippuden_Ultimate_Ninja_Heroes_3_USA_PSP-PSPKiNG [Clean] Works ...It works
PSP 2000 5.50 Prometheus v4 Naruto_Shippuden_Ultimate_Ninja_Heroes_3_EUR_PSP-ZER0 [Clean] Works ...It works
PSP 2000 5.50 Prometheus v4 Harry_Potter_and_the_Order_of_the_Phoenix_EUR_READNFO_PSP-BAHAMUT [Clean] Not working Sticks at a black screen on load. No error and no crash.
PSP 2000 5.50 GEN-D3 KHBBS Patch Kingdom_Hearts_Birth_by_Sleep_JPN_PSP-Caravan [Clean] Works Works fine
PSP 2000v1 5.00 M33-6 m33620 plugin Shin_Megami_Tensei_Persona_3_Portable_USA_PSP-PSPKiNG [Clean] Works Converted to .CSO and still works
PSP 1000 5.00 M33-6 m33620 plugin God_Eater_JPN_PSP-Caravan [Clean] Not Working Black screen on boot. Doesn't crash or error out. Home button still works but cannot exit to XMB
PSP 1000 5.00 M33-6 m33620 plugin + Prometheus Plugin v5 God_Eater_JPN_PSP-Caravan [Clean] Works If you have GEN, You do not need the m33620 as it will decrypt the EBOOT for you. Working fine here.
PSP 3000 5.03 Prometheus v? Tales_of_the_World_Radiant_Mythology_USA_PSP-pSyPSP [Clean] Works Working fine with the enabling thing. No save corruption.
PSP 3000 5.03 Prometheus v? Fate_Unlimited_Codes_USA_PSP-EMiNENT [Clean] Works ...It works
PSP 1000 5.50 Prometheus v4 Shin_Megami_Tensei_Persona_3_Portable_USA_PSP-PSPKiNG [Clean] Works Works fine. Either patch it or get on Prometheus.
PSP 2000 5.00 M33-6 m33620 plugin Shin_Megami_Tensei_Persona_3_Portable_USA_PSP-PSPKiNG [Clean] Works Works fine.
PSP 2000 5.50 Prometheus v4 Soul_Calibur_IV_Broken_Destiny_EUR_PSP-Vanady [Clean] 80020148 ...It works only by enabling boot.bin in recovery menu but this can be done w/o either plugin
5.50 Prometheus v4 Harvest_Moon_Hero_of_Leaf_Valley_USA_PSP-PSPKiNG [Clean] Works Not extensively tested but seems to be working so far. On my card to test the analogue stick, mostly.
5.50 Prometheus v4 Soul_Caliber_Broken_Destiny_EUR_PSP-iND [Clean] Works Despite getting the .cso link from a youtube vid it seems to work perfectly so far. Not even giving me any trouble with my analogue stick. I'm starting to think the analogue stick is either fixed or it only meses up on older games.
5.50 Prometheus v4 Burnout_Legends-PAL-PSP-DAGGER [Clean] Works
5.50 Prometheus v4 Rock.Band.Unplugged.EUR.PSP-LoCAL [Clean] Works
PSP 3000 5.03 Prometheus v4 Little_Big_Planet_USA_PSP-pSyPSP (Clean) Works
PSP 2000 5.50 Prometheus Shin_Megami_Tensei_Persona_3_Portable_USA_PSP-PSPKiNG (Clean) Works
PSP 2000 5.50 Prometheus Half_Minute_Hero_USA_PSP-pSyPSP (Clean) Works
PSP 1000 5.50 GEND3 m33620 plugin Fate_Extra_JPN_PSP-Caravan [Clean] Works It works fine
PSP 3000 5.03 Prometheus v4 Fat_Princess_Fistful_of_Cake_USA_UMD_PSP-PLAYTHIS (Clean) Works
PSP 2000 5.00 M33-6 m33620 plugin Kingdom_Hearts_Birth_By_Sleep_USA_PSP-pSyPSP (Clean) Works Plays and loads fine.