Redemption is sometimes a theme. If one of the characters has made mistakes in the original story, fanfiction can be a way to explore their journey of redemption, with the other character playing an important role in that process. For example, if Jack has made a wrong decision in the past, Kim could be the one to help him see the right way and grow as a person in the fan - written story.
You can try fanfiction websites like Archive of Our Own (AO3). It has a large collection of fan - created stories, and you're likely to find some 'jack x kim' fanfiction there.
In some 'jack x kim' fanfiction, they could be in a time - travel situation. They get sent back in time and have to figure out how to get back to their own time. During this journey, their relationship deepens as they face different historical challenges together.
You can try some popular fanfiction websites like Archive of Our Own (AO3). There are a large number of fanfictions there. Just search for 'kim x jack' in the search bar, and you'll be presented with various stories written by different authors.
One of the common themes is overcoming obstacles. Jack and Kim often face various challenges in the original story, and in fanfic, this can be expanded. They might have to deal with external forces trying to break them apart or internal struggles like jealousy or fear of commitment. Growth is also a theme, as they grow both as individuals and as a couple in these fan - created stories.
In the 'kim and jack kickin it love story', perhaps Kim was a shy girl and Jack was a really outgoing guy. Jack first noticed Kim because of her unique smile. He mustered up the courage to talk to her. As they got to know each other, they found they had so many common interests, such as loving the same kind of music and movies. This common ground made their relationship grow deeper and deeper until they realized they were in love.
Friendship is a very common theme. Writers often explore how Kim and Jack support and care for each other. Another theme is adventure, as they are sent on various quests or missions in many fanfictions.
Love is a theme that sometimes pops up. Some fanfictions might explore the idea of Jack and Kim having romantic feelings for each other, although not all of them do. It adds an interesting layer to their relationship and the story as a whole.
One possible challenge could be differences in their families. Maybe their families have different values or expectations, which could put pressure on their relationship.
Love and affection are common themes. Writers often explore how Jack and Kim's feelings for each other grow and lead to that special moment of a kiss. Another theme could be overcoming obstacles. Maybe they have to deal with some sort of conflict, like misunderstandings or outside pressures, before they finally share a kiss.