He could gain the ability to create large - scale wooden structures, like Hashirama did. For instance, he could build huge wooden golems to fight for him in battles.
Naruto could potentially gain the power of omnipotence. Since the Infinity Stones are extremely powerful in the Marvel universe, in the Naruto fanfiction, they could give Naruto abilities beyond imagination. He might be able to use the Stones together to rewrite the rules of the ninja world. For example, he could make chakra obsolete and introduce a new form of energy using the combined powers of the Stones. Also, he could use the Power Stone to boost the power of his Rasengan to an unimaginable level, capable of destroying entire mountains with a single throw.
He might gain enhanced chakra control. Since he has the Kyuubi's soul, he could have better access to the Kyuubi's chakra reserves and be able to manipulate it more precisely. Maybe he could also gain some of the Kyuubi's natural abilities like better senses, especially smell, which could help him in tracking enemies or finding things.
He might gain the ability to manipulate ice like Haku. This could be a very useful addition to his existing skill set, especially in battles against fire - type opponents. He could create ice clones instead of the regular shadow clones, which would be more durable in certain situations.
Well, it could be something like the ability to control elements in a completely new way. For example, instead of just the basic five elements in Naruto, the new bloodline might allow for the manipulation of light or dark energy. Maybe it gives the power to teleport short distances instantly, which would be a huge advantage in battles.
Naruto would gain some really cool (pun intended) new abilities. The ice - making ability would be the most prominent. He could form ice clones, similar to his shadow clones but with the added advantage of being made of ice and potentially having more durability. His sensory abilities might also be enhanced, as Esdeath has a good sense of her surroundings when using her powers. He could detect enemies hidden in the ice or snow. And, like I said before, the time - freezing power. This would allow him to analyze his opponents' moves during the frozen time and come up with the perfect counter - attack. It would add a whole new dimension to his combat skills.
One new ability could be enhanced strength. Thor's hammer gives its user great physical strength, and Naruto could use this to his advantage. He could break through stronger defenses more easily, like the fortified hideouts of his enemies. Also, the hammer has the power of returning to its wielder's hand. This would prevent Naruto from losing his weapon during combat, ensuring he always has it at his disposal for the next attack.
Well, it could have the ability to manipulate time on a small scale. For example, the user could slow down time for a brief moment in battle, giving them an edge to dodge attacks or land precise strikes. This would be a really cool and unique ability compared to the existing bloodlines in the Naruto universe.
Naruto might gain the power of shikai and bankai. Shikai is the first release of a zanpakuto's power, and bankai is the ultimate form. Naruto, with his determination and strong will, would strive to master these forms. Shikai could give him new attacks and defenses, while bankai could make him an extremely powerful force. For example, his bankai could combine his ninjutsu skills with the zanpakuto's power in a unique and devastating way.
Naruto could gain the ability to manipulate light and darkness, which are often associated with Keyblades. This would be a huge change from his normal chakra - based abilities. He could also use the Keyblade to fly, giving him an advantage in both mobility and combat. Another new ability might be the power to heal, as some Keyblades have restorative properties.
Naruto could potentially gain the ability to sense danger more acutely with Akame's sword. In some interpretations, the sword has a certain awareness. This could help Naruto in battles, allowing him to anticipate his opponents' moves better. Also, if the sword has any hidden powers related to Akame's world, Naruto might be able to tap into them. For instance, if there are special enchantments on the sword, he could use them to his advantage, like making himself invisible or resistant to certain types of attacks.