There's 'Time Traveling Dragons' which is an interesting take. They are sent back in time to a period where dragons were more common. Daenerys gets to see how her ancestors interacted with their dragons, and Jon is there to support her. The story has a lot of twists and turns as they try to find a way back to their own time while also changing some things in the past for the better.
One idea could be that they travel back to the time when the Targaryen dynasty was at its peak. Jon could see Daenerys in her element as a Targaryen princess. They might try to change some of the events that led to the downfall of the Targaryens, like preventing the Mad King's actions. But this could have unforeseen consequences for the future they came from.
One great 'Daenerys Targaryen Time Travel Fanfiction' is 'Back to the Beginning' where she travels back to the time before her family's fall and tries to change things. It has an interesting take on how she uses her knowledge from the future.
In a time travel fanfiction, their son could go back to the moment when Jon and Daenerys first met. He could subtly change their initial interactions to make them trust each other more quickly. This could lead to a stronger alliance from the start. He could also travel to the times when they faced their biggest challenges individually and offer solutions. For example, when Daenerys was dealing with the slavers in Slaver's Bay, he could give her ideas on how to end slavery more effectively and gain more loyal followers, which would have put her in a better position when she reached Westeros.
In fanfiction, one way it could be possible is through some sort of magical spell or ancient artifact. Maybe there's a long - forgotten Targaryen relic that has the power to manipulate time. When their child discovers this relic, it accidentally sends them on a time - traveling journey.
One popular 'jon and daenerys fanfiction' is 'A Song of Ice and Fire Reborn'. It takes an interesting turn on their relationship, exploring how they might have united the Seven Kingdoms in a different way. Another great one is 'The Targaryen - Stark Alliance', which delves deep into their cultural differences and how they overcome them for the greater good. And 'Jon and Daenerys: Destiny's Bond' is also worth reading as it focuses on their fated encounter and the prophecies surrounding them.
One popular 'Jon and Daenerys lemon fanfiction' might be 'The Meeting of Ice and Fire'. It often delves into their complex relationship with some creative and passionate scenarios. However, fanfiction can vary greatly in quality and content.
One good fanfiction could be 'A New Alliance'. In this story, Jon and Daenerys form an alliance not just for political reasons but also gradually develop a deep emotional bond. It explores their different cultures and how they come to respect and love each other's ways.
It could also develop more complicatedly. Suppose they travel to a future where one of them has made a big mistake in the fight against the Night King. This could create mistrust or a power struggle between them. Maybe Daenerys blames Jon for something that went wrong in the future battles, and they have to work through that while still trying to deal with the Night King threat.
It would greatly affect Jon. If their son travels back to the time when Jon was still at the Wall, he could reveal to Jon his true identity earlier and help him accept his Targaryen heritage more smoothly. This could change Jon's actions and decisions. For Daenerys, the son could give her more confidence in her claim to the Iron Throne by showing her the future support she could have had.
Good fanfiction also pays attention to the details of the Game of Thrones world. It should use the lore, the different cultures, and the magic elements effectively. For example, if there are dragons involved, it should describe how they interact with the environment and the people in a believable way. Also, how Jon's connection to the North and the Old Gods plays a role in their relationship and the overall story.