Yes, there might be. The Naruto fandom is vast and diverse, and often fans create crossover or unique concept fanfics. The 'SSJ Rose' concept, which is related to Dragon Ball Super's Super Saiyan Rosé form, could potentially be incorporated into a Naruto fanfic by a creative fan who wants to explore a unique crossover scenario.
A 'naruto ssj3 fanfic' is likely a fan - made fictional story that combines elements of Naruto and the Super Saiyan 3 (SSJ3) concept from Dragon Ball. It could be about a Naruto character achieving a form similar to SSJ3, perhaps with new powers and abilities, and the adventures or battles that follow.
You can try fan - fiction websites like FanFiction.net or Archive of Our Own. They usually have a wide variety of fan - created works, and there's a good chance you'll find 'naruto ssj3 fanfic' there.
Goku being born with SSJ4 in fanfic would likely make him a force to be reckoned with from infancy. This could result in quicker power-ups, different battles, and maybe even a shift in the balance of power among the characters.
One possible plot could be Goku from the SSJ4 form crossing over into the world of Dragon Ball GT. He could encounter new threats that require his ultimate form to defeat. Maybe he teams up with the other Z - fighters in that universe to face off against a powerful and ancient evil that was sealed away long ago and has now been unleashed.
In Dragon Ball fanfic, Goku SSJ often has super strength, like being able to lift extremely heavy objects with ease. He can also move at incredible speeds, making it hard for enemies to even see him coming. His energy blasts are much more powerful than in his normal form, capable of destroying large structures or powerful foes in one shot.
The plot might involve Goku SSJ4 teaming up with some unexpected allies in the Tournament of Power. He could be using his SSJ4 powers in creative ways, like combining them with the techniques of his new allies to gain an edge over the other universes' competitors.
It could be about Naruto obtaining the power of SSJ Rose through some sort of magical or scientific accident. Maybe he travels to a different dimension where the concepts of Dragon Ball exist and absorbs the power there. Then he has to learn to control this new power while still being a ninja in his own world.
Well, 'The Super Saiyan Bardock Chronicles' is quite interesting. It follows Bardock on his journey after achieving the Super Saiyan form. It has some exciting battles and also shows how Bardock tries to use his new - found power to protect his people. There's also 'Bardock's SSJ Awakening' which focuses more on the emotional aspect of Bardock's transformation.