Batman vs Superman's story involves a complex web of events. There's public pressure, personal vendettas, and a looming threat that forces them to either work together or destroy each other. It's a battle of wills and powers.
Definitely. Batman and Superman have long been featured in DC Comics, and the movie takes inspiration from those comic sources. It incorporates elements and plot points from various comic story arcs.
One idea could be a crossover where Batman Beyond teams up with the Teen Titans to face a new threat in Gotham. Maybe a powerful villain has emerged who is using advanced technology that only Batman Beyond can understand, and the Titans' unique powers are needed to combat the villain's minions.
Batman's origin in Teen Titans Go is somewhat of a comical take on the traditional origin. He witnessed the death of his parents in Crime Alley which drove him to fight crime. But in the Teen Titans Go version, it's presented with their signature humor.
In the fanfic, Batman might use his advanced gadgets to save the Teen Titans. For example, he could use his grappling hook to pull them out of a dangerous situation like a collapsing building. His Batmobile could also be used for a quick escape or to ram into villains threatening the Titans.
In some fanfics, the moment when the Teen Titans and Batman Beyond combine their powers to defeat a seemingly invincible villain is always a highlight. For instance, if the villain has the ability to absorb energy, the Titans use their powers in a coordinated way to distract the villain while Batman Beyond figures out a way to disrupt the villain's power - absorbing mechanism.
One of the best is 'The Dark Knight Returns'. In this story, an older Batman comes out of retirement and clashes with Superman who is sort of a government enforcer. It shows their ideological differences and the grittiness of the Dark Knight against the more 'establishment' Superman.
Batman sees Superman as a potential threat to humanity due to his god - like powers. Lex Luthor manipulates Batman into believing Superman is dangerous. Batman decides to take on Superman. Superman, on the other hand, is just trying to do good but is constantly facing public scrutiny. Their conflict escalates until they finally fight. However, they later realize they have been misled and team up against a common enemy like Doomsday.