List extracted from https://l-lists.com/en/lm.php?l=wo9z8c.html
default sorting is "User Order", but I encourage you to switch the sorting to "Avg Rating" or "Popularity" to prioritize showing you good games instead, or to "Trending", or "Alphabetical"

I encourage you to sort through the shovelware! There's a lot of garbage on this list but also a lot of insanely unique and interesting titles that were localized from Japan but considered "too weird" for America, often with misleadingly boring covers, so look into these games! It's a really interesting library
personally probably my favorite is Gregory Horror Show

also check out my similar PS1 PAL-exclusive English game list (https://www.backloggd.com/u/PZT/list/ps1-europe-and-europejapan-exclusives-all-english-games-that-werent-released-in-america/)
and my PS1 Japan-exclusives with low-language-barrier + fan translations list (https://www.backloggd.com/u/PZT/list/ps1-japan-exclusives-with-low-language-barrier--fan-translations/)
and my Sega Saturn Japan-exclusives with low-language-barrier + fan translations list (https://www.backloggd.com/u/PZT/list/saturn-japan-exclusives-and-pal-exclusives-with-low-language-barrier--fan-translations/)
sadly a list like those but for the PS2 Japan-exclusives with low-language-barrier may not be possible due to the lack of any kind of existing list, no Champion Collection exists or anything, but I'll do some brainstorming on how to assemble a list like that, even if it's incomplete and compromised it'll still be hundreds of good, interesting titles

couldn't find on Backloggd, submit them and I'll add them:
Bob the Builder Eyetoy
Buzz! Pop Quiz
Choplifter Crisis Shield
Dance Fest
Dance Party: Club Hits
Dance Party: Pop Hits
Downhill Slalom
Drag Racer USA
Extreme Championship Racing: Devastation (supposedly published by Acclaim, can't find any evidence it exists)
Eyetoy Active
Fishing Fantasy BuzzRod
Frankie Dettori Racing
Fruitfall
Gangsters Ride (does this game even exist? can't find any evidence)
Germany's Next Top Model 2009
Go Go Copter
Goodyear Racing (cover art is only evidence it exists)
Guerrilla Strike
Gumball 3000
Hard Hitter Tennis 2
Hue (can't find any evidence this exists either, same publisher as Gangsters Ride)
International Cue Club 2
International Pool Championship
International Snooker Championship
Jello (I can't believe there's a Jello video game)
Junior Sports Basketball
K-1 Premium Dynamite!!
Karaoke Stage 2
Kiddies Party Pack
League Series Baseball 2
Marble Chaos
Move2play (can't find proof this ever came out for PS2 at least)
Operation Air Assault
Petanque Pro
Power Volleyball
Premier Manager 08
Premier Manager 2002-2003
RTL Ski Jumping 2004
RTL Ski Jumping 2005
RTL Ski Jumping 2007
RTL Winter Sports 2009
Real World Golf 2007
Realplay Pool
Realplay Racing
Roland Garros 2005: Powered by Smash Court Tennis
Rugby League 2: World Cup Edition
SWAT Commando
Singstar Italian Party
Singstar Italian Party 2
Singstar Morangos com Acucar
Singstar Party Hits
Singstar Pop Hits 2
Singstar Pop Hits 3
Singstar Pop Hits 4
Singstar Schlager
Singstar Singalong with Disney
Singstar The Biggest Solo Stars
Singstar Turkish Party
Singstar top.it
Snooker 147
Speed Machines 2
Speed Machines 3
Steam Express
TT Superbikes Legends
The Great British Football Quiz
The Ultimate Trivia Quiz
The Ultimate World Cup Quiz
Trivial Pursuit Unlimited
Virtua Pro Football
Volleyball Xciting
WSC REAL 08: World Snooker Championship
World Championship Snooker 2005
World Pool Championship 2007
World Rally Championship 4
World Rally Championship II Extreme