One interesting plotline could be Hermione and Fleur teaming up to solve a mystery within the Triwizard Tournament. They might use their combined intelligence and skills. For example, Hermione's vast knowledge of magic and Fleur's charm and unique magical abilities could be a great combination to figure out a dark plot against the champions.
A really cool plotline could be a magical exchange of sorts. Fleur teaches Hermione some of the more refined and elegant magic from Beauxbatons, while Hermione shows Fleur some of the practical and powerful spells she knows. This could lead to new magical discoveries for both of them and strengthen their friendship.
One interesting plotline could be a different take on the Triwizard Tournament tasks. Maybe the challenges are not as straightforward as in the original, with hidden twists and alliances among the champions that we don't see in the book. For example, the champions might have to work together in some tasks secretly to overcome a greater threat that the judges don't know about.
One interesting plotline could be Daphne and Harry teaming up secretly to investigate the mystery behind the Goblet of Fire. Maybe they suspect some dark magic interference that others haven't noticed yet.
In some fanfictions, a great plotline could be Harry and Luna forming a closer bond because of the Goblet of Fire chaos. Luna could be the one to comfort Harry when he's facing the difficulties and dangers of the tasks. And together, they might even uncover a conspiracy among the teachers or judges that was meant to manipulate the results of the Triwizard Tournament.
A possible fanfiction could be that Harry and Fleur accidentally swap magical abilities during a mishap in one of the tournament tasks. This would force them to rely on each other more as they try to figure out how to reverse the situation while still competing. It could be a story full of humor as they struggle with unfamiliar magic, and also of growth as they learn to understand each other's perspectives better.
One interesting Hermione in Goblet of Fire fanfic could be one where she has to solve a mystery related to the Triwizard Tournament that the original story didn't cover. For example, she might discover a hidden plot by a group of dark wizards who are trying to manipulate the tournament for their own evil purposes. Another could be a fanfic that focuses on Hermione's relationship with other characters during that time, like a deeper friendship with Cedric Diggory. She could be helping Cedric prepare for the tasks in ways that the books didn't show.
Some fanfictions might have a plot where Hermione and Fleur discover a hidden magical realm. In this realm, they are the only ones who can communicate with the native magical creatures. Their shared adventure and the unique connection they form with the creatures make them mates. They then have to fight to protect this realm from those who want to exploit it.
One interesting plotline could be Draco secretly helping Harry during the Triwizard Tournament. Maybe he has a change of heart and realizes that the dark side isn't what he really wants. Another could be a friendship forming between them in the face of a common enemy within the tournament. For example, a dark wizard who tries to manipulate the tasks for their own evil purposes.
One possible plotline could be a friend betraying Harry to gain favor with the Death Eaters. Maybe they leak information about Harry's tasks in the Triwizard Tournament. This would add a whole new layer of danger and drama to the story.
One interesting plot twist could be that Hermione is secretly entered into the Triwizard Tournament not by the Goblet, but by a dark wizard who wants to use her as a pawn. This would put her in a very dangerous situation right from the start.
Fleur could be developed to be more vulnerable. In the original, she is very much the proud and confident champion. Fanfiction could explore her insecurities, especially in relation to the tournament. And Hermione could be the one to help her through those tough times, showing a different side of Fleur.