There are quite a few. Since Elena and Katherine are such iconic characters in the Vampire Diaries universe, fans often like to create their own stories about them. Some fanfiction might focus on a romantic relationship between them, while others could explore how they interact in different scenarios than in the show.
It really depends on the perspective. Elena is often seen as the good girl, the one with a pure heart. She represents the moral compass in many fanfictions. But Katherine has this allure of mystery and a long history of survival. If you like characters with depth and a darker side, Katherine might be better in the fanfiction world. However, if you prefer the more traditional heroines, Elena would be the top choice.
A common theme is power dynamics. Given that Katherine is often portrayed as more powerful and manipulative compared to Elena, fanfiction may explore how this affects their relationship when love is involved. Also, the theme of identity and how they see themselves in relation to each other through love is popular.
The Salvatore brothers, Stefan and Damon, are the most likely candidates. They both have a strong connection to Elena and would stop at nothing to rescue her. Stefan's sense of chivalry and Damon's fierce protectiveness would drive them to track down Katherine and get Elena back.
Definitely. The fanfiction community is creative. In some stories, the kiss might be a result of a spell gone wrong that makes them feel an attraction they didn't expect. Or it could be a part of a plot where they are both trying to manipulate each other but end up getting caught in their own game and the kiss becomes a very intense and complex moment in the story.
A common theme is the struggle for power. Since both are strong - willed characters, many fanfictions explore who is more powerful or how they vie for power in different situations.
Katherine turning Elena into a vampire changes her life in many ways. For one, Elena's diet changes. She has to resist the urge to feed on humans. Socially, she becomes an outcast among normal humans. Her perception of the world also changes. She starts to see the vampire society in a different light and has to find her place within it.
One possible fanfiction could be those that explore their relationship in different alternate universes. For example, a story where they are in a world without vampires but still have a deep, complex bond.
One good Elena and Katherine fanfiction could be 'The Sisters' Rivalry'. It delves into the complex relationship between the two, exploring their similarities and differences in a really engaging way.