One common theme is family. Many fanfictions focus on how Naruto and Hinata raise their children, the values they teach them, and the family traditions they uphold. Another theme is support. Hinata is always shown as Naruto's pillar of support, especially when he has a tough time as the Hokage. Also, love and growth of their relationship is a big theme. They continue to learn more about each other and fall deeper in love as they go through life together.
Often, it's portrayed as very loving. Naruto is shown as being extremely protective of Hinata and their family. He values Hinata's opinions and often asks for her advice on village matters.
Their married life in fanfiction may also include quiet moments. For example, they might sit on the porch at night, looking at the stars and just enjoying each other's company. Hinata could be the one who keeps the family grounded while Naruto is out there protecting the village.
In fanfiction, their married life might be full of small, sweet moments. Naruto, being the Hokage, would be very busy, but Hinata would always be there to support him. They would probably have family dinners together with their kids, sharing stories of their day. Naruto would also teach his kids the ninja way, while Hinata instills in them values like kindness and respect.
One common theme is family. Since they are married, many fanfictions explore how they start a family, raise children, and pass on their values. For example, Naruto teaching his kids ninjutsu skills he learned.
Yes, there are many. You can start by looking on fanfiction websites like FanFiction.net or Archive of Our Own. Just use the search terms 'Naruto Hinata married' and then filter out any stories with adult ratings. Some fanfictions might focus on their married life, like how they adjust to living together, or their adventures as a married couple in the Hidden Leaf Village.
One possible fanfic could be about their wedding day. It would describe the beautiful ceremony, with all their friends from Konoha in attendance. Naruto might be a bit nervous at first, but seeing Hinata in her wedding dress makes his heart flutter. Hinata, on the other hand, is overjoyed to finally be marrying the man she's loved for so long. The fanfic could also include some humorous moments, like Naruto accidentally tripping as he walks down the aisle to meet Hinata.
There's also 'Naruto and Hinata: A New Beginning'. In this fanfiction, it focuses on the challenges they face as a newly married couple in the Hidden Leaf Village. It dives into how they deal with the expectations of the village, their own insecurities, and still manage to grow closer to each other.
Another plotline could be them working together to improve relations between different clans in the village. Since Naruto is from the Uzumaki clan and Hinata is from the Hyuga clan, their marriage can be a catalyst for uniting the two clans and by extension, all the clans in the village. They might face opposition from traditionalists, which makes for an exciting story arc.