I don't remember how, but I was thinking about Pokémon Snap. Then I suddenly noticed it would be perfectly suited for competition! The maximum score for each Pokémon is saved, as well as the best score for each course. You can replay anything anytime, the game wasn't that bad... I even have a guide I could scan (and translate, though this may take a while), it has the location of each pogeyman, tips, maps...
...?