What makes a dib x professor membrane fanfic interesting?

Yes, there are quite a few. You can start by looking on fanfiction platforms like Archive of Our Own. There are some really creative takes on the Dib and Professor Membrane relationship in those stories.

One common theme could be the clash of their different personalities. Professor Membrane is often seen as a scientific and somewhat oblivious figure, while Dib is very much into the paranormal. So, the contrast can lead to interesting interactions.

There might be some great 'professor membrane x dib fanfiction' out there. You could also check fanfiction.net. Sometimes, it has unique takes on different character pairings. However, it can be a bit of a search to find exactly what you're looking for in the sea of stories.

One idea could be that Professor Membrane discovers Zim's true alien identity in a rather comical way. Maybe during one of his experiments, he accidentally uncovers Zim's hidden technology and Zim has to come up with a crazy plan to convince the professor it was just a malfunctioning toy. Another could be a story where they team up to solve a scientific mystery that threatens both Earth and Zim's home planet, Irk. They start off as enemies but gradually realize they can learn from each other.

The relationship could start with mutual suspicion. Zim sees the professor as a potential threat to his mission, and the professor notices Zim's odd behavior. As the story progresses, they could find common ground in their love for science. For example, Zim might be intrigued by the professor's advanced experiments and the professor could be curious about Zim's alien technology.

One common theme could be adventure. Maybe they go on some wild adventures together in the fanfiction.

The relationship between Professor Kukui and Sun in a platonic sense can be interesting because of their different roles. Professor Kukui is a knowledgeable figure, while Sun is more of an adventurer. Their interactions can show a mentorship - like bond which is great for exploring different aspects of the Pokémon world.

One common theme could be the exploration of the relationship between Zim and Dib in a very different and extreme situation. Since Dib is male in the original and the concept of male pregnancy is introduced, it might deal with how they both adjust to this new reality.

I'm not sure specifically which 'professor membrane x fib fanfiction' stories are the best. You could try searching on fanfiction platforms like Archive of Our Own. There might be some hidden gems there.

The novelty. Usually in the original series, we have a set idea of what professors are like. In a 'a different professor Harry Potter fanfic', they can be completely different in terms of personality. For example, a super shy professor who is an expert in Dark Arts but is always afraid to show off his knowledge.