One possible analysis could be that it often explores the dynamic between two powerful and complex characters. Goku Black, with his menacing and somewhat twisted nature, and Vegeta, the proud Saiyan prince. In fanfics, their interactions can range from intense battles to unexpected alliances. Maybe it delves into how Vegeta would react to Goku Black's presence, given their different ideologies and power levels.
One common theme is the battle of wills. Goku Black and Vegeta are both strong - willed characters, and fanfictions often explore how they clash or come to an understanding.
Many fanfics have a plot where Goku Black challenges Vegeta's place as the second - strongest Saiyan. This leads to a series of battles and power - up moments for both characters. There could also be a plot where Goku Black infiltrates Vegeta's family life, causing chaos and forcing Vegeta to not only protect his family but also prove his worth as a fighter. And sometimes, the plot focuses on the power struggle within the Saiyan race, with Goku Black representing a new and dangerous element to Vegeta's understanding of Saiyan power.
Bulma could be involved. Since she has a relationship with Vegeta and is friends with Goku, she might try to mediate between them when Goku snaps at Vegeta. She could be the voice of reason, trying to calm both of them down and make them see each other's point of view.
One possible storyline could be that Naruto is somehow transported to Goku Black's universe. There, he has to face Goku Black who sees him as an intruder. Naruto would have to quickly learn about Goku Black's powers and find a way to fight back using his ninja skills. Another storyline could be that a powerful villain creates a rift between their two universes and pits them against each other. They start off as enemies but then realize they are being manipulated and team up to fight the real villain.
There could be a storyline where Beerus, out of boredom, decides to train Goku Black instead of fighting him. But Goku Black misinterprets this as a sign of weakness and attacks Beerus. This could lead to a battle where Beerus has to hold back at first to avoid killing Goku Black, but as the fight progresses, he realizes he has to use his full power to subdue him.
One great 'Goku Black x Vegeta' fanfiction is 'The Dark Alliance' which delves into an alternate universe where they are forced to team up against a greater evil. It has some really interesting character dynamics.
It often starts with a shock or surprise at the mpreg situation. Then, they gradually learn to rely on each other more. For example, Vegeta might start to show a more caring side that he usually hides, and Goku might become more responsible. They'll have to communicate more, sharing their fears and hopes about the future with the baby.
Yes, in the vast world of fanfiction, there are all kinds of creative and out - of - the - box stories. Some fans like to explore unusual relationships and scenarios, so it's possible that there is such a fanfiction out there. However, it goes against the original canon of the Dragon Ball series in many ways.