Often, they start with a sense of wariness. Raven, being a more reserved and distrustful character, may be on guard around Naruto at first. Naruto, on the other hand, is usually more open and tries to be friendly. For example, he might offer to share his food with Raven, which she might find strange but also endearing in a way.
There can be interactions where Naruto's positive attitude starts to influence Raven. Raven, who has a rather dark and brooding personality, might start to see things in a more positive light. Naruto's belief in never giving up and always protecting his friends could inspire Raven to face her own inner demons. They might have deep conversations about their past traumas and how they overcame or are still struggling with them.
Their powers could interact in a complementary way. Naruto's demon powers might give him enhanced strength and speed. Raven's powers, which are often associated with magic or some kind of psychic ability, could be used to control or direct Naruto's more chaotic demon powers. For example, she could use her powers to calm Naruto when his demon side is about to go out of control.
Hinata could befriend Ruby. Ruby is the leader of Team RWBY and Hinata is a key member of Team 8. They both have a sense of loyalty and a strong will to protect. Hinata could show Ruby some of her gentle fist techniques, and Ruby could introduce Hinata to Crescent Rose and how it works. Their friendship could be based on mutual respect for each other's combat abilities.
RWBY characters might initially be confused by Earthlings' lack of knowledge about Dust and Semblances. They could start by trying to educate some curious Earthlings about their world. For example, Ruby might show off her Crescent Rose to a group of engineering students, who are fascinated by its design.
In Naruto x RWBY weapon fanfiction, Naruto characters' chakra abilities can enhance RWBY weapons. For example, Sasuke could use his Sharingan to better aim and control a RWBY - style sniper rifle. RWBY characters' Aura abilities can also interact with Naruto - style weapons. Yang's Aura - based strength could make her wield a large Naruto - style sword more effectively.
Naruto's chakra - based powers like the Rasengan could interact with Raven's magic in some fanfictions. For example, Raven's ability to create portals might be used in combination with Naruto's speed to quickly move around the battlefield.
Naruto would likely be the enthusiastic and friendly one. He'd be eager to make friends with the Teen Titans and would probably approach Raven with his usual open - heartedness. Raven, being more reserved, might be a bit cautious at first. Orochimaru, on the other hand, would be the antagonist. He'd see Raven as a tool for his own dark purposes and would try to manipulate or capture her. Naruto would immediately oppose Orochimaru's actions and try to protect Raven and the other Teen Titans.
In a fanfiction, their relationship could also be explored in terms of leadership. Naruto has led his team in many battles and has a sense of responsibility towards his comrades. Raven has her own group and her own way of leading. They could compare and contrast their leadership styles. Maybe they would have some disagreements at first, but as they get to know each other better, they could find a middle ground and lead a combined force against a greater threat in the RWBY universe.
The characters from RWBY could be initially afraid of the Kyuubi due to its powerful and somewhat menacing appearance. However, Naruto (if he also comes through with the Kyuubi) could act as a mediator, explaining the Kyuubi's power and how it can be used for good. For example, Weiss might be skeptical at first but then see the potential in combining her Dust powers with the Kyuubi's chakra.
Aside from Naruto and Raven, it's possible that other RWBY characters like Ruby, Weiss, Blake, and Yang could also be important. They might interact with Naruto in different ways, either as friends, allies, or foes. And perhaps some of Naruto's friends from his own world, like Sasuke or Sakura, could make appearances in the story, which would add more depth to the interactions and the overall plot.
Often, they start off as strangers and then gradually become friends. They might be initially suspicious of each other's powers but then come to respect them.