In some fanfiction, they interact as reluctant allies. They might start off distrusting each other due to the nature of the Games but gradually come to respect one another's abilities.
In certain fanfictions, their interactions are more competitive. Maybe they are in a situation where they have to compete for resources in the arena, but still maintain a certain level of respect. They might have verbal sparring matches where they try to outwit each other, which adds an interesting dynamic to their relationship in the fan - created stories.
Honestly, it's hard to name just a few. However, some authors who seem to really get into the nuances of Finnick and Katniss's characters are often those who are also big fans of the original series. They study the books closely and are able to write fanfiction that feels true to the source material. You can start by looking at the works of authors who have been writing Hunger Games fanfiction for a long time as they likely have some great Finnick and Katniss stories as well.
One great fanfiction could be about Finnick and Katniss teaming up in the arena in a way that wasn't shown in the original books. They use their unique skills to outwit the Capitol's new and devious traps.
One interesting fanfiction could be about Finnick and Katniss teaming up earlier in the Games and using their unique skills to outwit the Capitol's traps. For example, Finnick's charm and fishing skills combined with Katniss's archery and survival instincts make them a formidable duo.
Johanna could also be included. She has her own rough past and strong personality. Her interactions with Finnick are already established in the original story, and her relationship with Katniss could be developed further. They could all form a sort of misfit group fighting against the Capitol's tyranny.
A fanfic could explore a scenario where Finnick saves Katniss's life in a different way. Instead of in the arena, it could be in a Capitol raid. Finnick uses his knowledge of the Capitol's layout and his combat skills to keep Katniss safe. This could lead to a deeper connection between them as Katniss is indebted to Finnick for her life.
Katniss is strong - willed and often guarded. Finnick is charming yet has a depth of pain and a sly intelligence. Lemon, if we assume a more upbeat and perhaps naive personality, could act as a sort of bridge between them. Finnick's charm might initially annoy Katniss, but Lemon could help her see the value in his light - heartedness. Meanwhile, Katniss' no - nonsense attitude could ground Finnick and Lemon in more serious matters.
In some fanfiction, their relationship develops quickly. They might realize their true feelings for each other right after the games end. For example, they could start a family soon and focus on building a life together away from the horror of the games.
In fanfiction, their relationship could also develop as a result of political events. If there are uprisings against the Capitol, Gale and Katniss may be at the forefront. Working side by side in the fight for freedom, they grow closer. They might have late - night strategy meetings where they not only plan their next moves but also open up to each other about their fears and desires. As they see each other's determination and courage, their relationship blossoms into something more than friendship.
Katniss, on the other hand, may develop by becoming more open about her feelings. Fanfiction often explores her internal struggle with emotions, and as she spends more time with Peeta, she might start to express her love and care for him more freely. This is a big change from her guarded self in the original Hunger Games trilogy.
In some fanfiction, their relationship develops quickly after the games as they realize how much they truly need each other. They start to trust each other more and become more open about their feelings. For example, Peeta might share his artistic side more with Katniss, which makes her see him in a new light.