One plot idea could be that Batman and Hawkgirl have to team up to stop an ancient threat that is related to Hawkgirl's past. Maybe a powerful villain from her home planet has come to Earth, and Batman's detective skills combined with Hawkgirl's combat abilities are needed to defeat it.
Perhaps there's a story where Batman discovers a secret about Hawkgirl's wings that could give her even more power. But in order to unlock this potential, they have to go on a dangerous quest. Along the way, they face many challenges that test not only their physical abilities but also their growing relationship as partners and potential lovers.
A really interesting plot could be a love triangle situation. Imagine Hawkgirl is in a relationship with someone else in the Justice League, like Green Lantern, but she starts to develop feelings for Batman as they work together on a series of difficult missions. This would create a lot of drama and tension among the characters.
One idea could be a story where Batman and Hawkgirl team up to stop a powerful villain that is causing chaos in both Gotham and Hawkgirl's home realm. They start off not trusting each other fully due to their different methods, but as they face challenges together, they learn to respect and rely on one another.
A great Hawkgirl and Batman fanfiction idea could involve Hawkgirl getting injured during a battle and Batman taking her to the Batcave to recover. While she's there, they have long conversations about their pasts, their losses, and what drives them. This could lead to a newfound friendship or even a romantic connection in some versions of the fanfiction, as they realize how much they have in common despite their very different origins.
Maybe X - 23 is on the run from some anti - mutant forces and finds herself in Gotham. Batman initially suspects her but then realizes she's being hunted unjustly and decides to help her. They then have to fight off the hunters while also dealing with Gotham's regular villains.
Perhaps they are in a competition within the Justice League to see who can complete a series of challenging missions first. This could lead to some friendly rivalry as well as them learning to respect each other's abilities more. Along the way, they might also have to deal with a villain who tries to take advantage of their competition.
Perhaps a plot where Batman and Batgirl are investigating a series of strange disappearances in Gotham. They find out that it's related to a secret underground organization that is using some sort of new technology. Along the way, they start to realize their feelings for each other are deeper than just being crime - fighting partners. But they have to put their personal feelings aside to stop the organization before it's too late.
One idea could be that the villain somehow gets amnesia and Batman has to decide whether to use this to his advantage or try to rehabilitate the villain. Another could be a scenario where the villain and Batman are forced to team up against a greater threat that endangers Gotham. Maybe a new, extremely powerful villain emerges and Batman realizes he needs the knowledge and skills of his regular foes to stop it.
One interesting plotline could be that Batman, who is usually so brooding and solitary, starts to open up to Hawkgirl's more adventurous and free - spirited nature. Their relationship could develop as they team up to fight a common enemy that requires both Batman's detective skills and Hawkgirl's combat abilities.
One idea could be exploring how Hawkgirl copes with her pregnancy while still having to protect the city. Maybe she has to balance her new physical limitations with her superhero duties.
Another plot could be a story where Hawkgirl and Wonder Woman have a misunderstanding at first. Hawkgirl thinks Wonder Woman is being too overbearing in her heroics. But then they realize they are more alike than different when they face a threat that targets female superheroes specifically. They then work together to take down the threat and in the process become good friends.
One idea could be exploring how the other Justice League members react to Hawkgirl's pregnancy. Some might be overprotective, while others could be worried about how it will affect her in battles. Another could be Hawkgirl dealing with her own fears and excitement about becoming a mother while still being a superhero.