If you want a wacky, unique rhythm game: Gitaroo Man

For the PS2 entry into one of the best shoot em up series of all time: Gradius V

For a fun, anime themed, voice acted tactical RPG that you can just literally play forever because it seemingly invented the “looping, start over but with better base stats” mechanic that idle games use these days: Disgaea

(As a bonus, the original PS2 version of Disgaea has a different voice for one of the characters than it does in other releases because they lost the rights or some thing like that, so you get to experience it in a slightly different manner than most other people.)