Interesting but that would be hard to document because shipping relies on tags and fic/art sites like AO3 and Pixiv, while rivalries rely on YouTube videos and other social media posts? There is also powerscaling but that would be a little bit different from a full-on rivalry. Though, I personally don't know if something like a Rivalry Fandom Wiki exists out there.

Pretty interesting concept ! Maybe a wiki like that would be smth like a “who would win in a fight” except theres LOADS of info on the character status and abilities

Instead of love, there's hatred?

I do love enemies, but this might make me confused about it.

Yes, we do have fans making fanarts of two characters are rivalry each other (I mostly know Tisha with Vee, because Vee hates water, and Tisha likes cleaning. It's canon they are enemies.)

Some people draw them hating each other, some people draw them being lovers (enemies to lovers).

Soo idk enemies to lovers can count for the rivalry

Oo BSD sounds perfect for that! maybe Vanitas w/ Dominique too?