One common theme is redemption. Jason often has a troubled past, and Batman saving him can be seen as a step towards his redemption. It shows that Batman still believes in him and is willing to risk everything to bring him back from the brink.
One storyline could be that Jason discovers a plot against Batman early on. He then sets up a counter - plan and at the crucial moment, jumps in to save Batman from a deadly trap. This would show Jason's intelligence and his lingering care for Batman despite their past issues.
Batman could also appeal to Jason's sense of self - improvement. He might tell Jason that quitting smoking is a step towards becoming a better version of himself, more disciplined and in control. By giving up this bad habit, he can focus more on his crime - fighting and self - development. He could also use his own example of a healthy lifestyle to inspire Jason.
In fanfiction, Jason Todd's relationship with Batman can be complex. If smoking is involved, it might be used to add a certain edginess to the character. For example, Jason Todd could be depicted as a brooding figure, smoking as he contemplates his past with Batman. It could also symbolize his rebellious nature against Batman's code.
In many fanfictions, Jason saving Batman in 'Batman Arkham Knight' often shows a new side of their complex relationship. It could be a moment of redemption for Jason. Maybe he realizes the true meaning of Batman's mission and decides to put aside their differences. This scenario allows for deep character exploration.
One possible scenario in Batman saves Batgirl fanfiction could be that Batgirl is in a dangerous situation, like being held captive by a powerful villain. Batman, with his detective skills and combat abilities, manages to find her location and battles the villain to rescue her. It's a classic superhero - damsel in distress (although Batgirl is also a superhero in her own right) situation that often plays out in fanfiction.
There are likely many 'Jason Saves Percy' fanfictions out there. Some might focus on their friendship and how Jason's loyalty drives him to save Percy. For example, in a story, Percy could be trapped in a sinking ship due to a sea - god's wrath and Jason, with his flying abilities and strength, manages to break through the barriers and pull Percy to safety. Fanfiction.net could also be a good place to start looking.
Another good one is 'Red Hood: The Lost Days'. This story fills in the gaps of what happened to Jason Todd during the time he was presumed dead. It explores his journey of survival, his training, and how he became the Red Hood. It gives a lot of depth to his character, showing the transformation from a fallen hero to an anti - hero.
Smoking in fanfiction involving Jason Todd and Batman can be a device to show a character's state of mind. If Jason Todd smokes, it may suggest he's dealing with a lot of emotional baggage, perhaps related to his resurrection and his complex feelings towards Batman.
One interesting aspect of Jason Todd as Batman in fanfiction is the different take on his moral code. He has a more complex past compared to Bruce Wayne, which can lead to unique storylines. For example, his time as the Red Hood gives him a darker perspective. In fanfictions, he might handle Gotham's criminals in a more brutal way as Batman, adding a new layer of intensity to the stories.