Another way is through a dimensional rift. A rift could open up between the Naruto world and the world of Final Fantasy XIII, causing characters from both sides to accidentally cross over. As they explore the new world they find themselves in, they would have to adapt and cooperate. This could lead to interesting exchanges of knowledge and skills, like Naruto teaching the FF XIII characters about chakra, and them teaching Naruto's friends about magic and technology from their world. It could also result in new power - ups for the characters as they learn from each other.
The worlds could be merged effectively by creating a common threat. For instance, a powerful entity that can only be defeated by the combined powers of both universes. This would force the characters from Naruto and Final Fantasy XIII to interact and work together.
The worlds can be blended through character crossovers. For example, Vaan from Final Fantasy XIII could visit Hogwarts and be amazed by the magic there. He could try to learn magic spells, while also teaching the wizards about his world's combat skills.
A more complex way to merge the worlds is to have a common enemy. For example, a new and extremely powerful dark force that threatens both the ninja villages in Naruto and the realms in Castlevania. This would force the characters from both worlds to work together. They would have to share their knowledge and powers. In this scenario, Naruto could teach the Castlevania characters about chakra, while they could teach him about dark magic defenses. It would be a story full of action and discovery as the characters adapt to each other's worlds and powers.
The cultures of the two worlds could be blended. For instance, the Pokemon Centers in the Pokemon world could be introduced to the Fire Emblem setting, serving as places for healing both soldiers and Pokemon. This would create a new aspect of world - building in the fanfiction.
A crossover might involve the storylines. Picture the ninja world of Naruto facing a threat similar to the fal'Cie in Final Fantasy XIII. The shinobi could team up with the characters from FF XIII to fight this common enemy. The different cultures and power systems would create a really engaging and unique story.
One way to blend Naruto and Final Fantasy 15 in fanfiction could be through character crossovers. For example, Noctis could meet Naruto. Noctis has his unique combat skills with his weapons and magic, while Naruto has his ninja techniques. They could learn from each other. Maybe Noctis could teach Naruto some magic tricks, and Naruto could show Noctis how to be more stealthy like a ninja. This would create interesting interactions and new storylines.
You could also have a character who has a connection to both universes. Maybe a half - Naruto - half - Angeloid being. This character would act as a bridge between the two worlds. They would introduce the concepts of one universe to the other. For example, they could teach the ninja in Naruto's world about the advanced machinery of the Angeloid universe and at the same time show the Angeloid the importance of things like honor and loyalty in the ninja world. As this character moves between the two universes, the two start to blend together more and more.
A possible way for their worlds to merge in fanfiction is through a reincarnation plot. What if some of the Naruto characters were reincarnated in the Highschool DxD world? Naruto himself could be reborn as a devil or an angel. This would completely change the power balance and relationships in the Highschool DxD world. Rias would have to deal with this new Naruto, who still has his ninja spirit but now has to adapt to the rules and powers of the new world.
You can start by looking on fanfiction websites like Archive of Our Own (AO3). It has a large collection of 'Final Fantasy XIII Fanfiction' sorted by various categories such as genre, character focus, and rating. Another good place is FanFiction.net. It has been around for a long time and has a decent amount of stories related to 'Final Fantasy XIII'. You can also check out some dedicated Final Fantasy forums where fans might share their own fanfiction or recommend good ones.
Their relationship could be developed by exploring their past traumas. Lightning could open up to Hope about her own experiences that made her so tough, and Hope could share how he coped with losing his mother. By understanding each other's pain, they would become closer and more empathetic towards each other, leading to a more complex and deep relationship.
Another way is to focus on the character development. For example, if Zuko from Avatar and Sasuke from Naruto meet. They both have a complex past with a journey towards redemption. Their interactions could lead to mutual understanding and growth. As they face challenges together, they can learn from each other's experiences and apply it to their own personal growth, which in turn helps in merging the storylines.