Yes, there are quite a few. You can start by looking on popular fanfiction websites like FanFiction.net or Archive of Our Own. Some fanfictions might explore Naruto having a special connection to Tobirama's ideals or techniques, perhaps even having Tobirama as a mentor figure in a different timeline.
Naruto might be less impulsive. Tobirama was a very calculated person, so Naruto could inherit that trait and think twice before acting. For instance, instead of rushing headlong into battles, he would plan his moves carefully.
Also, Tobirama was a master of space - time ninjutsu. Naruto has some experience with space - time with his teleportation jutsu, but Tobirama's were more advanced. Naruto would need to understand and master these complex techniques if he wants to truly fight like Tobirama. It would take a long time and a great deal of effort to reach that level of proficiency.
Maybe Naruto starts using Tobirama's signature water jutsu more often. Tobirama was known for his powerful water techniques, so Naruto could mimic those, like creating large water dragons or using water to enhance his speed and mobility during combat.
Well, in such fanfictions, we might see Naruto taking on Tobirama's more serious and calculating nature. He could be involved in complex political situations in the village, much like Tobirama was. Also, there could be some cool crossovers with Tobirama's era and Naruto's, like Naruto interacting with Tobirama's contemporaries. This would add a whole new layer of depth to the Naruto universe and show how Naruto would handle situations in a more traditional and strategic way, rather than his usual impulsive style.
One common theme is the exploration of her relationships. It could be her relationship with her brother Hashirama, which might be different as a female. Maybe she offers more emotional support or has a different dynamic in family matters.
One popular fanfiction site to look for it could be Archive of Our Own (AO3). Just search for 'female Tobirama Senju' there and you'll find a variety of stories. Some might focus on her relationships within the Senju clan, while others could explore her role in the ninja world from a female perspective.
One way is through their relationships. Tobirama had his own set of comrades and rivals. The OC could form different kinds of relationships. They could befriend outcasts that Tobirama might not have associated with. Also, the OC's reaction to modern technology or new ninja techniques could be different. Maybe Tobirama was traditional, but the OC is eager to adapt and combine old and new. The OC could also have a different sense of humor, which would show in their interactions with others.
One idea could be that the OC has Tobirama's memories slowly resurfacing. As they do, the OC starts to show extraordinary skills in water jutsu, just like Tobirama was known for. Another plot could involve the OC being drawn to the Senju clan's old haunts and trying to piece together Tobirama's past, which leads to uncovering long - lost secrets of the clan.
Sure. There are some out there. The idea of Naruto being related to the Senju clan opens up a whole new realm of possibilities in the Naruto fanfiction world. For example, it could change his relationships with other characters. If he was Senju, his connection to Sasuke, who is an Uchiha, would have even more depth considering the historical rivalry and connection between the Senju and Uchiha. And it might also give Naruto access to different jutsus and abilities that are unique to the Senju.