To Me my mega ultra favorite game was a little Ps1 gem called Battle Arena Toshudien it came with my ps1 and I just played the hell out of it. xD I still play it to this day , sad that the sequels are **bleep** tho :/
MediEvil. It's not a 5 star game, but I had a whole lot of fun playing it. Maximo and The Mark of Kri on PS2.
Probably a ton of others, but those three are the first ones to pop into my head.
MediEvil wasnt the most popular game back in the days but it certainly had it fanbase.