One interesting Naruto Ichiraku fanfic could be about Naruto introducing all his friends from different villages to Ichiraku Ramen. It shows how the simple ramen place becomes a meeting point for international shinobi friendships.
One possible reason could be that he's had a bad experience with the taste. Maybe the ramen was made wrong one day and it left a really bad impression on him.
Sasuke can also be a main character in some fanfics. For example, there could be a story where Sasuke finally comes back to the village and Naruto takes him to Ichiraku to have some ramen as a way of welcoming him back. Kakashi might also make an appearance in such fanfics, as he is Naruto's teacher and might join them for a bowl of ramen.
There is a fanfic called 'Ramen Bonding in Naruto's World'. It focuses on how Naruto's love for ramen brings him closer to his friends. They often gather at the ramen shop and share stories over a bowl of steaming ramen. It shows the importance of food in building relationships in the Naruto universe.
It could be a fanfiction that focuses on a character in Naruto experiencing withdrawal symptoms related to ramen. Maybe Naruto himself is deprived of his beloved ramen for some reason and the story explores how he copes.
Naruto could use his shadow clone jutsu to multitask in the kitchen. One clone could be chopping vegetables, another boiling the broth, and he himself could be preparing the noodles. His speed and agility from being a ninja would also help him serve customers quickly.
Yes, there are some out there. You can start by looking on fanfiction websites like FanFiction.net or Archive of Our Own. Just search for 'naruto ramen ban' in their search bars and you'll likely find a variety of stories. Some might be about Naruto being banned from his favorite ramen place for some wacky reason, like he accidentally caused a food fight or couldn't pay his bill.
There might be a fanfic where Naruto's love for someone is intertwined with his love for ramen. For example, he might use his knowledge of ramen ingredients to create a special gift for his beloved, like a ramen - themed piece of jewelry made from ramen - like beads.
One reason could be that it's overused. If there were too many fanfictions focusing on Naruto and ramen, the community might want to encourage different storylines.
In the Hidden Leaf Village, a ramen eating contest was announced. Naruto was the first to sign up. As the contest began, Naruto grabbed a huge bowl of his favorite miso ramen. He slurped it down with great gusto, his cheeks puffed out like a chipmunk. His friends cheered him on. Sasuke watched with a smirk, secretly impressed by Naruto's appetite. In the end, Naruto won by a landslide, his stomach full but his spirit even fuller.