One idea could be exploring what would happen if Sirius Black was actually innocent but had a different, more complex plan than just escaping. For example, he might be trying to uncover a deeper conspiracy within the wizarding world that ties to his imprisonment.
You could also write a fanfiction where Harry discovers a hidden passage in Azkaban that leads to a forgotten part of the wizarding world's history. This discovery could put him in a race against time to prevent a long - forgotten evil from being unleashed on the present - day wizarding community.
Another plot could focus on how the Dementors' presence affected the students at Hogwarts in more ways than shown in the original story. Maybe some students start to have strange dreams or develop new magical abilities as a result of the Dementors' influence.
One idea could be that Harry discovers a hidden magic within Azkaban that allows him to free wrongly imprisoned witches and wizards. He then uses this to his advantage to reform the wizarding prison system.
One idea could be exploring Sirius Black's life more in depth during his time on the run. Maybe he had some secret encounters with other magical creatures that he never told Harry about.
One idea could be exploring Harry's journey in Azkaban in more depth, like how he copes with the dark and gloomy atmosphere. Maybe he discovers some long - forgotten secrets within the prison walls.
For a Harry Potter Azkaban contract fanfiction, perhaps there's a contract between a healer and the Ministry of Magic regarding Azkaban. The healer agrees to try and find a way to lessen the effects of the Dementors on the prisoners, but in return, they want access to some restricted magical knowledge. Or it could be a contract between two prisoners in Azkaban. They make a pact to break out together and seek revenge on those who put them there. They might use their combined magical skills and knowledge of the prison's secrets to plan their escape.
One idea could be exploring Sirius Black's time on the run in more detail. Maybe he had some secret encounters with other magical creatures that he didn't tell Harry about. Another could be a story from the perspective of Remus Lupin during his time as a teacher at Hogwarts that year, and how he was constantly worried about his werewolf secret being exposed while also trying to protect Harry. A third idea could be a fanfic that focuses on Hermione's time - turning device, and what would happen if she accidentally sent herself back too far in time and had to find a way to get back to the right time without disrupting the timeline too much.
In the fanfiction, the female Harry Potter might be sent to Azkaban as part of a plot by Voldemort to get rid of her. While in Azkaban, she discovers a hidden power within herself. It could be related to her connection with her mother or some ancient magic. She then starts to influence the other inmates with her positive energy, and they start to believe in her as a symbol of hope against Voldemort.
In this fanfiction, perhaps a major plot point is Harry using his new position to reform Azkaban. He could introduce new ways of dealing with prisoners that are more humane. Also, his power might attract the attention of dark forces who want to either use him or destroy him, which would add a lot of action and suspense to the story.
A cool plot twist might be that the time - turner Hermione uses has some unforeseen side effects. Instead of just allowing her to attend more classes, it starts to create glitches in time that cause different events from the past to bleed into the present. For instance, old spells from the founders of Hogwarts start to randomly appear in the corridors, and the characters have to figure out how to stop this chaos while also dealing with the Sirius Black situation.
One interesting plot development could be the exploration of Harry's relationship with Sirius Black outside of prison. Maybe they go on adventures together, hunting down remaining Death Eaters. Another could be Harry's improved skills in Defense Against the Dark Arts, as he now has Sirius as a more regular mentor. And perhaps there are new magical creatures introduced that Harry and his friends encounter during their post - Azkaban adventures.
One common plot idea is exploring Sirius Black's life more in - depth. Maybe a fanfiction could focus on his time in Azkaban before his escape, showing his mental state and how he coped. Another idea is changing the roles. For instance, what if Hermione was the one who was wrongly accused instead of Sirius? It would create a whole new dynamic.