In a modern AU fanfiction of Naruto and Hinata, one possible story could be that Naruto is a young entrepreneur, always full of energy and big dreams. Hinata could be an artist, shy but with a heart full of passion. They meet at a local coffee shop where Naruto is pitching his business ideas to some potential investors. Hinata overhears him and is intrigued. Their relationship could start from simple conversations about their dreams and slowly develop into a deep love as they support each other in their respective pursuits.
A modern AU might have Naruto as a fitness instructor. He's popular and always motivating his clients. Hinata, on the other hand, could be a librarian. She's quiet and loves books. One day, Naruto decides to visit the library to find some books on sports nutrition. He meets Hinata there, and at first, Hinata is too shy to talk much. But Naruto's friendly nature breaks the ice. Eventually, they start going on dates, like running together in the park followed by a visit to Hinata's favorite bookstores.
Perhaps in this modern AU fanfiction, Naruto is a struggling musician trying to make it big in the music industry. Hinata is a nurse, kind and caring. Naruto plays at a small local concert, and Hinata happens to be there. She's immediately drawn to his music and his passionate performance. After the concert, they meet, and Naruto is charmed by Hinata's gentle nature. They begin a relationship where Hinata supports Naruto's musical journey, and Naruto brings a new sense of adventure and fun into Hinata's rather routine life as a nurse.