Yes, there are quite a few good Jon x Elia fanfics out there. You can start your search on popular fanfic websites like Archive of Our Own. Some of them explore a different timeline where Jon and Elia might have a relationship, often delving into the complex politics and family ties in the Game of Thrones universe.
The contrast in their backgrounds. Jon is a bastard in the North, while Elia is from a noble house in Dorne. This creates an interesting dynamic for the fanfics.
In a 'Game of Thrones' fanfic where one is asked to save Princess Elia, it could be a really interesting plot. Maybe the character is a time - traveler or has some special powers. If it's a time - traveler, they might have to go back to before the events that led to her downfall. They'd need to navigate the complex politics of Westeros, make allies, and perhaps even face off against the likes of Tywin Lannister. It would be a dangerous mission, but with enough cunning and strength, it could be possible to change her fate.
In Game of Thrones Jon x Sansa fanfic, there are several common themes. Power dynamics is one of them. They both have different kinds of power - Jon with his military leadership and Sansa with her political skills. How they balance and combine these powers is often explored. Also, the theme of redemption. They both have made mistakes in the past and in fanfic, they can find redemption through their relationship with each other. And of course, the theme of love, not necessarily romantic love all the time, but a deep love for their family and home, which drives their actions.
One possibility could be that in the fanfic, Jon and Rhaenys form an alliance to take on the common enemies in Westeros. They might realize that their combined strengths, Jon's leadership skills and Rhaenys' claim to the throne, could be a powerful force. This could lead to them gathering support from different houses and ultimately changing the power dynamics in the Seven Kingdoms.
I really like 'Jon and Dany: The Unlikely Alliance'. This fanfic delves into how Jon and Dany might work together against the common threats in Westeros. It has some great action scenes and also explores their emotional bond. It gives more depth to their relationship compared to what we saw in the series at times. It's a great read for fans who wanted more of their interactions.
I really like the fanfic 'Jon Targaryen: Fire and Ice Reborn'. It shows Jon not only as a powerful Targaryen but also as a character who is trying to balance the power of his dragon blood with his Stark upbringing. The author does an excellent job of creating new storylines that still feel true to the original 'Game of Thrones' world.
One great fanfiction could be 'The Lost Queen of Dorne'. It delves into Elia's life before the tragic events in the series. It shows her as a strong and intelligent woman, full of grace and dignity. This fanfic gives more depth to her character, exploring her relationships with her family and her hopes for the future of Dorne.
Arryn could be a member of House Arryn, known for their loyalty and strategic thinking. Maybe he's a young knight who has heard tales of Princess Elia's beauty and kindness and is inspired to save her.
One possible plot could be that Arryn, being a skilled warrior or a clever strategist, discovers a plot against Princess Elia. He then uses his skills and connections to either hide her away safely or raise an army to defend her. Maybe he has some prior relationship with Elia or is acting out of a sense of justice.