A unique way could be if a magical diaper is created that has special powers. Maybe it can fly like a broomstick or protect the wearer from dark magic. This would be a very different take on the normal use of a diaper in a story.
One approach could be that a character finds an ancient diaper in a hidden chamber at Hogwarts. This diaper is part of an old wizarding family's heirloom, and it holds a secret power or a clue to a long - lost magic. As the character tries to figure out its significance, it could lead to an exciting adventure.
Foxes could be part of a new magical species in the fanfiction. They could have their own language and culture within the wizarding world. For instance, they might live in a hidden part of the Forbidden Forest and have a special connection to nature magic that the main characters need to understand to defeat a new dark force. This would expand the world - building in the fanfiction.
The crow familiar could be a bridge between the Muggle and wizarding worlds in the fanfiction. It can interact with Muggle animals in a way that normal wizarding familiars can't. For example, it can communicate with crows in the Muggle park and learn things about the Muggle world that are useful to Harry. It could also have a connection to a magical constellation. When the stars align in a certain way, the crow gains extra powers, like the ability to fly faster or see through invisibility cloaks. And you could write a story where the crow's nest is a portal to a secret magical realm that only it and Harry can access.
One way is to have a Creepypasta - like curse befall Hogwarts. For instance, a curse that makes the staircases move in a truly chaotic and disorienting manner, similar to the unease that Creepypasta stories create. The students would have to navigate this new and scary situation, perhaps with some help from the teachers who are also baffled by this strange occurrence.
A pegasus could be a time - traveling familiar. It could take the main character back in time to witness important events in the Harry Potter universe's history. This would add an exciting twist to the story.
One unique way is to make the Tower of London a key part of a time - travel plot. Say, a powerful spell was cast in the Tower long ago that is now causing disruptions in the present - day wizarding world. Harry and his friends have to travel back in time to the Tower's past to stop the spell from being cast in the first place. The Tower could be filled with different eras of magic and different types of magical defenses that they have to overcome. Also, the Crown Jewels in the Tower could be magically enhanced items that have a special connection to the wizarding world, like they can be used to unlock a powerful magical vault.
One unique way is to make the dragon fire act as a form of communication. Imagine a dragon that can send messages through the patterns of its fire. In the fanfiction, the main character has to learn to decipher these messages to solve a mystery or prevent a disaster. Another idea is to have the dragon fire be a source of time - travel. When the fire engulfs a certain magical object, it can send the holder back in time, leading to all sorts of interesting plot twists in the Harry Potter universe.
You could make the heritage potion a key part of a mystery. Maybe it's the only thing that can solve a series of strange disappearances in the wizarding world. The characters have to track down the ingredients, which are scattered across different magical locations, and then brew the potion correctly. Along the way, they learn about different family heritages and how they might be connected to the mystery.
Arithmancy can be incorporated uniquely in Harry Potter fanfictions by using it to predict the future of the wizarding world. For example, by calculating the numerical values of important events and characters, one can create a prophecy - like scenario. It could also be used to create magical codes. For instance, a secret society in Hogwarts could use arithmancy to encrypt their messages, and the main characters have to break the code using their arithmancy knowledge.
One way is through the wizarding economy. For example, the Weasley twins' joke shop, Weasleys' Wizard Wheezes. Fanfiction could expand on the business side of it, like how they manage inventory. They might have to source ingredients for their magical pranks from different wizarding markets. Another aspect could be marketing. How do they promote their products? They could use magical means like enchanted flyers that follow potential customers. Also, they need to deal with competition, perhaps from other prank - selling shops in Diagon Alley.
Another way is to have the kitten be a gift from a mysterious character. Maybe Dumbledore gives a kitten to Harry as a way to help him deal with the stress of fighting Voldemort. The kitten could have some sort of calming magic that helps Harry stay focused and centered during difficult times. This would add an interesting dynamic to their relationship and also give the story a new angle to explore.