consider this a counterpart to the post made by @GuyWTriangle
i have a few but this is my best example:
driv3r. i played the absolute hell out of it back in the day. the first two driver games are ps1 classics but the third game nearly killed the series entirely. atari forced the devs to release it several months before it was finished in order for it to compete with gta san andreas, but the game was very glitchy and a tacked on third person combat system was no match for what gta had to offer. there was also a scandal called driv3rgate (very original) related to atari giving early access to a couple of gaming magazines in exchange for positive reviews, which ended up being the final nail in the coffin for the game.
i still like it a lot. the driving in it feels really good, and i honestly prefer it to san andreas in that respect. the car destruction in the game is also really impressive for ps2, even though car explosions could bring the game down to like 5fps due to the amount of physics objects flying around. also, the three cities in the game (miami, nice and istanbul) have their own distinct atmospheres, cars, and soundtracks. speaking of soundtracks, there were some really good songs on it, my favorite being this. the story mode had some fun missions, but also some really brutal ones. i feel it relied way too much on the third person shooter combat that just wasn't very good. however, the driving missions were mostly fantastic in my experience. it's kinda what the series was known for.
it'd be nice to hear about any negatively received games that are near and dear to you. i love to hear people being passionate about the things they love
2 games on ps2 i fucking loved were the bionicle game (very negatively received) and predator concrete jungle.
bionicle owned honestly. like its a p typical collect-a-thon game like banjo kazooie or w/e but you got to play ALL of the OG bionicles, and each area + character had a unique mechanic. i vividly remember going underwater with the water bionicle or FLYING/gliding with the jungle one. it was so cool.
predator concret jungle was just being a predator and it also owned and still owns, last time i played it (like 2017?). controls are super clunky but once they click, it has such a fun movement system, like how assassins creed platforming felt but long before AC. if it wasnt for the controls being kinda shit i think it wouldve been received a LOT better