Nice work, Will, as usual. While I prefer to focus on five primary character archetypes — as detailed in the OP — there are certainly other archetypes which can be helpful both in story analysis and story development. Contagonist, Clown, Victim, whatever works for you, go for it!
Interesting to note how many trickster characters in your assessment and it’s a good reminder that any character can don any archetype ‘mask’ in any scene or any relationship. So, for example, the most fundamental function of a Nemesis is to provide opposition to the Protagonist. So in those scenes when Chief Bogo stands in opposition to Judy, he is wearing a nemesis mask (for my purposes, I use capital “N” to refer to the REAL Nemesis, small letter “n” to refer to characters who are wearing the nemesis mask for that scene or in that relationship).
This is a hugely helpful weapon in a writer’s arsenal because it not only makes for more realistic characters — after all, we as individuals wear ‘masks’ throughout the day in a various social settings — but also allows us to explore multiple personality aspects of each character we write.
So at times, Nick wears a nemesis mask. Occasionally he provides a mentor function. There are even moments where he acts like an attractor, tapping into an emotional connection with Judy. Eventually he firmly applies a co-protagonist mask. But at the end of the day, I see his primary narrative function to be Trickster. Enemy. Ally. Ally. Enemy. Shifty. Tricky. He is Han Solo to Judy’s Luke Skywalker in SW:EP IV.
One final point re the presence of so many characters who wear a trickster mask in Zootopia. Since there is a caper-mystery at the core of the Plotline, it’s almost to be expected that characters would appear to provide one type of narrative function, then reveal a whole other side to who they are. Mysteries are usually like that or else they would hardly qualify as a mystery!
And this: When you assemble character types as you’ve done, Will, and read through them, it really shines a light on how in one way of looking at the story, ALL of the characters exist to SERVICE Judy’s journey, both her physical one (solving the caper and succeeding as a cop) and her psychological one (coming to a deeper understanding about common ground).
Thanks for your character analysis, Will. Good food for thought!