Yes, there are likely some out there. You can try searching on fanfic websites like FanFiction.net or Archive of Our Own. They have a vast collection of fan - created stories, and with the popularity of Naruto and the concept of Super Saiyan Rose (which is more related to Dragon Ball but can be creatively combined in fanfiction), there's a good chance you'll find something that fits.
It could be about a character in the Naruto universe who somehow gains the power of Super Saiyan Rose. Maybe Naruto himself discovers a new form that is a fusion of his own chakra power and the Saiyan transformation. This new form could give him enhanced strength, speed, and the ability to fight stronger opponents.
Well, one interesting aspect is the character interactions. Imagine Naruto and his friends encountering a being with super saiyan rose powers. How would they communicate? How would they train together? Another aspect is the potential for new storylines. The fanfiction can take the existing Naruto world and add a whole new layer of excitement with the super saiyan rose element. It can introduce new villains or new challenges that the original Naruto story might not have had. Also, the exploration of different cultures within the two universes. The Saiyan culture and the ninja culture are so different, and seeing how they blend or clash in the fanfiction is really engaging.
A Super Saiyan in Naruto fanfiction could be a result of a dimensional rift. Maybe a portal opens between the Naruto and Dragon Ball universes and some Saiyan energy seeps through, affecting a Naruto character. This would be an interesting plot device as it would introduce an alien concept to the ninja world.
Goku is often very popular. Since he's the main character in the Dragon Ball series, many fanfictions focus on his journey with the Super Saiyan 4 form. Vegeta is also a top pick. His rivalry with Goku and his own Saiyan pride make for great stories in the Super Saiyan 4 context. Another popular character could be Gogeta, the fusion of Goku and Vegeta. His Super Saiyan 4 form in fanfiction can be extremely powerful and is often used to face off against the toughest of foes.
In Dragon Ball Super Super Saiyan 4 fanfiction, often there are concepts about alternate universes. Picture a universe where Super Saiyan 4 is the norm rather than an extreme form. This could lead to different power hierarchies and battles. Additionally, some fanfictions explore the idea of Saiyan - human hybrids achieving Super Saiyan 4 in unique ways, perhaps with abilities that are a blend of human ingenuity and Saiyan strength.
In a Naruto goes Super Saiyan Rose fanfiction, the story could start with Naruto feeling a strange energy within him. This energy could be related to the Super Saiyan Rose form. As he tries to understand it, he discovers that it gives him enhanced speed, strength, and a new set of abilities. He then has to learn to control it while also dealing with the reactions of his friends and the ninja world around him. For example, Sasuke might be initially suspicious of this new power Naruto has acquired.
One popular 'super saiyan rose naruto fanfiction' could be 'The Rose - Transformed Saiyan in the Naruto World'. It often features unique crossovers between the Saiyan powers and Naruto's ninja world. The main character, often with the ability of super saiyan rose, has to adapt to the new environment of the Naruto universe and face various challenges. It's really exciting to read how the two different power systems interact.
One idea could be Gohan in his Super Saiyan 4 form facing a new, powerful enemy from another dimension. He could struggle at first to control the raw power of this form while also trying to protect his friends and family. Maybe this new enemy has the ability to nullify the Saiyan's energy attacks, forcing Gohan to rely more on his martial arts skills that he learned from Piccolo.