To develop their relationship, start with small interactions. For example, Naruto could share his food with the Snow Princess when she's cold and hungry. This simple act of kindness can be the start of a bond.
One common theme is Naruto's struggle in a snow - covered land. Maybe he's on a mission in a cold, snowy area and has to overcome the harsh environment along with his enemies. Another theme could be the beauty of snow representing a new beginning or a change in Naruto's life, like a new power awakening or a new relationship forming.
Maybe the Snow Princess has the ability to control time, which is something Naruto discovers accidentally. He realizes that this power could be used to prevent a great disaster in his own world. However, the use of this power has consequences. They must work together to find a way to use the time - controlling power without causing more harm, while also dealing with those who want to use the princess's power for their own evil purposes.
You can try fanfiction websites like FanFiction.net or Archive of Our Own. Just search for 'Snow Naruto' on these platforms, and you'll likely find a variety of fanfics related to it. There are also Naruto - focused forums where fans might share their snow - themed Naruto fanfics.
I'm not sure specifically as it could be a very unique fanfic. It might be related to a place full of snow, perhaps a fictional story set in a snowy abode with various characters and their adventures.
One idea could be a crossover where Jon Snow is transported to the Naruto universe. He could join Naruto's team and use his combat skills from Westeros, like sword fighting and archery, in the ninja battles. His leadership skills might also be recognized in the Hidden Leaf Village.
In this fanfic, Jon Snow could be a special Pokemon ranger. He is sent on a mission to a region that has been affected by a strange phenomenon that is making Pokemon act aggressively. Jon, with his experience in handling difficult situations in Westeros, uses his wisdom and combat skills. He forms a bond with a Growlithe, which he names Ghost after his direwolf. Together, they work to solve the mystery and restore peace to the Pokemon region.
It depends on the specific fanfic. There are countless fanfictions out there, and while some may choose to give Jon Snow dragons to enhance his character or create a more fantastical story, others may stick closer to the original lore and not include such a plot element. So, you really have to dig into different fanfics to find out if he has dragons in them.
I'm not sure specifically as I haven't read it. It could be about a character named Gregor in a world of snow - castles, perhaps a fantasy setting where Gregor has adventures in or around these snow - castles.