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 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.
Perhaps a contract fanfiction where Harry enters into an agreement with the goblins of Gringotts. He might offer his services in exchange for some powerful magical artifacts that could help him in his battle. This could involve a lot of negotiation and interesting lore about the goblin - wizard relations.
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.
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.
Perhaps the contracts having unforeseen consequences. Like the summoner losing a bit of their own magic each time they summon. It adds a layer of risk and drama to the story. In some fanfictions, the summoning contract might be tied to a specific family heirloom, which gives it a historical and mysterious aspect.
In this type of fanfiction, an interesting idea could be the exploration of different Hogwarts houses' reactions to the concubine contract. Gryffindors might oppose it on moral grounds, while Slytherins could see it as a means to gain power or influence. Also, the idea of how the Ministry of Magic would regulate or react to such a contract could be really fascinating.
In a Harry Potter Azkaban contract fanfiction, a character could break their contract if they manage to fulfill an alternative task that is equal in value to what was originally promised in the contract. For instance, if they promised to deliver a certain magical item but can't, they might be able to offer an equally powerful or valuable magical service instead. Also, if the contract was made under duress or with false information, they could seek the help of powerful magical beings or institutions like the Wizengamot to have the contract declared invalid.
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.