Perhaps it's about Hermione and a muggle - born friend she meets before Hogwarts. They might have been neighbors and discovered their magical abilities together. They could exchange stories about strange things that happened to them that they now realize were magic - related. This friendship could be a source of comfort for Hermione as she enters the wizarding world which is new and a bit intimidating to her.
Luna Lovegood might be a candidate. Luna has a unique perspective, and Hermione might be drawn to her quirkiness early on. They could meet in the library, both reaching for the same rare magical book, and start chatting about their different views on magic, thus beginning their friendship.
Maybe Harry and Hermione have a misunderstanding at the very beginning, like a fight over a Quidditch match result that gets out of hand. So they decide to not be friends. Then, Hermione might form an alliance with Draco out of spite towards Harry, and Harry could find himself more alone and start to rely more on Neville. This could lead to a whole new set of adventures and challenges in Hogwarts.
They could go on an adventure in the Forbidden Forest. Ginny's boldness and Hermione's caution would create an interesting dynamic. They might encounter some magical creatures and have to use their combined skills to get out safely.
One possible plot could be that Hermione, as a Lycan, struggles to hide her identity within the Hogwarts community. Fleur, being perceptive, might notice something off about Hermione. Maybe Hermione is afraid of being discovered and ostracized, while Fleur, having her own experiences with being different (as a Veela), tries to help Hermione come to terms with her new lycanthropy. They could form a strong bond as they both deal with the challenges of being 'other' in the wizarding world.
It might be a love - related plot. Suppose Hermione has feelings for Ron, but she's been too shy or too preoccupied with her studies to act on them. Then, when she finally decides to confess, it's too late. Ron has already started seeing someone else. In the fanfiction, it could explore her heartbreak and how she copes with this situation.
One possible plot could be Hermione seeking to learn advanced potions from Snape. Snape, initially reluctant, gradually discovers Hermione's unique understanding of magic and begins to teach her rare techniques. They might also face challenges together within Hogwarts, like dealing with other students' jealousy or uncovering secrets about certain spells.
One possible plot could be that their daughter is a young witch growing up in a world that still has remnants of the old wizarding world rivalries. She could struggle with being the daughter of two former enemies, facing prejudice from some in the wizarding community. She might have extraordinary magical abilities that draw both positive and negative attention, and she has to learn to navigate her own identity while also trying to bridge the gap between the Gryffindor and Slytherin legacies her parents represent.
Well, it could be a comical plot where Harry, for some magical reason, is turned into a small animal and Hermione takes him in as a pet. Maybe he still has his human mind and has to communicate in funny ways to Hermione, leading to all sorts of hilarious misunderstandings and adventures.
One possible plot could be that Hermione discovers a hidden family secret that reveals she is Dumbledore's sister. This leads to her having access to new knowledge and powers that Dumbledore left for her, which she uses to fight a new dark force in the wizarding world.
One possible plot could be that Hermione starts having strange dreams or visions that lead her to discover a hidden family connection to Merlin. She then embarks on a journey to learn more about her heritage, which takes her to ancient magical places and uncovers long - lost spells or powers related to Merlin.