One characteristic is their power dynamic. Beerus is extremely powerful as a God of Destruction while Supreme Kai has his own unique abilities. Their interactions based on this power difference can be interesting. For example, Beerus might be dismissive of Supreme Kai at first because of his relatively lower power level, but then come to realize that Supreme Kai has knowledge and wisdom that are valuable.
One possible storyline could be that Beerus and Supreme Kai have to team up to face a new, powerful enemy that threatens the universe. They start off not getting along well due to their different personalities, but as they fight together, they learn to respect each other's strengths and develop a friendship.
One possible scenario in this fanfiction could be that Cooler, being the powerful villain he is, initially challenges Beerus. But Beerus, with his godly power, easily overpowers Cooler. This encounter could lead to Cooler realizing the vast gap between his power and that of a god, and perhaps he decides to change his ways to become stronger in a different, more honorable way.
Another theme could be cultural exchange. Given that they come from different fictional settings, their meeting can lead to an exchange of ideas, values, and ways of life. For instance, Beerus's rather laid - back yet all - powerful attitude might contrast with Gone's more determined and perhaps more mortal - like nature. This contrast can create interesting storylines about how they influence each other.
In a 'Gine meets Beerus' fanfiction, perhaps Gine is on a mission to seek help for the Saiyan race. She hears of Beerus' power and decides to approach him. When they meet, Beerus is amused by her courage. Gine tells him about the tyranny of Frieza over the Saiyans. Beerus, who has his own sense of justice, decides to keep an eye on Frieza. He also gives Gine some advice on how to better protect the remaining Saiyans, like teaching her some basic techniques to hide their ki more effectively.
Well, Cooler might approach Beerus with a sense of bravado. But Beerus would likely just yawn and dismiss him as a minor nuisance. Then Cooler could get angry and attack, only to be quickly put in his place by Beerus' effortless swats. It would be a humorous and one - sided encounter at first.
Beerus would likely be the more dominant character. He is a God of Destruction, after all. His power level is off the charts compared to Gine. He has the ability to destroy planets with a flick of his finger. Gine, while a strong Saiyan, would be no match for Beerus in terms of raw power.
One popular 'Gone meets Beerus fanfiction' might be the one where they have an epic battle in a strange new dimension. It has great descriptions of their powers clashing.
I'm not entirely sure specifically as there could be many different 'king kai graphic novels'. It might be about a character named King Kai in a fictional story with a graphic novel format. It could involve his adventures, relationships, or some unique powers he has.