He'd probably be famous for his ramen - inspired baked goods. Maybe a ramen - flavored bread or buns filled with ramen - like ingredients. It would be a unique blend of his love for ramen and his newfound baking skills.
Since Naruto loves to share and bring people together, he might be famous for his sharing - sized pies. Big enough for a whole group to enjoy, filled with delicious fruits or meats, and baked with a flaky, buttery crust that people can't resist.
They might start with simple cookies. Cookies are a classic beginner's baking item, easy to make and delicious. Harry could teach them how to measure the ingredients properly, like the right amount of flour, sugar, and butter.
He might have powers like shape - shifting into a more demonic form. Maybe he could have the ability to breathe fire or some other elemental powers related to chaos or destruction. He could also have enhanced strength and speed that are far beyond what a normal ninja has, and his senses could be super - sharp to detect danger or prey.
Maybe he has the power of a different tailed beast. Since Naruto has a connection with the Nine - Tailed Fox, his son could be linked to another tailed beast, which would give him a whole new set of powers and challenges. He'd have to learn to control this power, just like Naruto did with the Nine - Tailed Fox's chakra.
He might have the power of instant teleportation. Just like a god can appear anywhere, Naruto could do the same to surprise his enemies or reach his friends in need quickly.
He might have the power of Odin's All - Father magic. This could allow him to see the past, present, and future, just like Odin's ability to gain wisdom through his ravens. Also, he could potentially have enhanced physical strength, much greater than what he has as a regular ninja, allowing him to overpower even the toughest opponents with ease.
He would probably have powerful water - based abilities. For example, he could control the oceans and large bodies of water like Poseidon. He might be able to create huge tidal waves or even walk on water effortlessly.
He could adopt a child who has been ostracized by the village for some reason. Naruto, who has always been an outcast in a way, would see himself in the child. This type of adoption would allow for a story about acceptance and redemption. Naruto would strive to show the village that this child is worthy of love and respect, just like he once had to prove his own worth.
He might have the power of charm. Just like Aphrodite can make people fall in love with a glance, Naruto could have a natural charisma that makes people trust him and want to follow him more easily. It could be really useful in his mission to bring peace to the ninja world.
It's possible that he has the power to summon creatures related to Amaterasu. Maybe some sort of fire - spirit or a mythical beast associated with the goddess. And from Naruto, he could inherit the ability to enter Sage Mode, which would further enhance his combat capabilities when combined with his fire - based powers.
One common theme is the combination of Naruto's ninja skills with baking. Like using chakra control for precise measurements or temperature control in the oven. Another theme is the idea of Naruto bringing a new and unique style to the baking world in the story. For instance, creating ninja - themed pastries.