In some fanfiction, Superman might carry Batman while they are on a mission to a far - off planet. Batman, being a normal human (albeit a highly trained one), needs Superman's flight ability to reach the destination quickly. This could lead to some interesting dialogues between them as they travel through space, with Batman analyzing the situation and Superman just focused on getting there.
One interesting story could be where Superman's obsession leads him to constantly protect Batman in a very overzealous way. He might be there at every crime scene Batman shows up at, much to Batman's annoyance at first but then they gradually develop a deeper understanding. Another could be a story set in an alternate universe where Superman's obsession is due to some sort of mind - control and Batman has to figure out how to free him from it while also dealing with his overly affectionate and protective behavior.
There could be a fanfiction where Batman and Superman are transported to an alternate dimension. In this new world, they find that their roles are reversed. Superman is more of a brooding, nocturnal figure, while Batman has super - like abilities. The story would be about how they adapt to this new situation and still find a way to be heroes in this strange world.
The fanfiction titled 'The Rescue Flight' is quite good. It has Superman carrying Batman when Batman is poisoned by a new villain's toxin. Superman races against time to get Batman to the right antidote source. It's a thrilling read with great descriptions of the flight and their bond.
There are SuperMan x Batman lemon fanfiction stories that play with the idea of their different powers and personalities. Superman's strength and Batman's intellect could be combined in unique ways within the context of a relationship. Maybe in a story, Superman is injured and Batman has to take care of him, and during this time, their relationship blossoms into something more. These fanfictions often take creative liberties with the characters and their established relationships in the official comics and movies.
One interesting aspect is the exploration of their unique relationship in a different light. In fanfiction, they might show a deeper emotional bond that isn't as fully explored in the original comics. It allows fans to imagine how they would interact on a more personal level, like sharing their innermost fears and dreams.
One interesting plot could be Batman and Superman having to team up against a common enemy that is more powerful than either of them alone. This forces them to put aside their differences and combine their skills.
A cool story could be about them having a friendly competition to see who can solve a series of mysterious crimes in the other's city first. Along the way, they learn more about each other's methods and develop a deeper respect for one another. This also gives an opportunity to explore the different atmospheres and challenges of Gotham and Metropolis.
One idea could be a story where Batman and Superman's kids team up to solve a mystery in Gotham City. Maybe they find a strange device that's causing chaos and they have to use their combined skills, like Batman's detective skills and Superman's super strength, to figure it out.
One interesting storyline could be a young Superman and Batman teaming up for the first time in a kid - friendly adventure. Maybe they are trying to stop a group of small - time villains who are stealing toys from all the kids in Gotham. They use their unique powers and detective skills respectively to track down the bad guys and return the toys.
One idea could be the two heroes having to hide their relationship from the public while still saving the world together. They might face challenges like dealing with their different approaches to justice within the context of their romance.