There are a handful of fights in the game that we can only fight once, such as school based fights that change their types based on the Wizard fighting them, or any bosses you have to fight solo and no one else can help you.
Perhaps we could have a special section for them in the Monstrology Tome, just like how all the "odds and ends" are in the Dungeons section. We can catalog them the moment we defeat them, rather than use an animus card. The only catch is that these creatures cannot be turned into summon cards and such.
I don't think that would be a good idea. A few people are rabid completion maniacs and would get very annoyed if KI added this sort of bestiary thing to the game because we'd never be able to complete it since we've moved on.