They might leave because they want to spread the knowledge they have about the fight against Voldemort. In America, they could start a new school of magic or join an existing one to teach students about the importance of unity and the power of love in the face of dark magic. They could also encounter new magical creatures unique to America and have adventures while trying to understand and protect them.
Perhaps they leave for personal reasons. Harry could be tired of the constant reminders of his past in Britain, and Hermione might be longing for a new academic environment. In America, they could start a research project together. Hermione could study the differences in magical theory between the two countries, while Harry could focus on how to better protect muggles from dark magic threats in a new cultural context.
One possible plotline could be that they leave to escape the chaos in the wizarding world of Britain. Maybe they are seeking a fresh start in America where they can explore new magical cultures. For example, they could be interested in learning about the different types of magic practiced by American wizards and witches, like the use of wands that are made from different materials compared to those in Britain.
In some fanfictions, it might be that Severus leaves due to some external threat that he believes will harm Harry and the unborn child if he stays. So, he sacrifices his relationship with Harry for their safety. Harry, on the other hand, is left heartbroken but determined to raise the child alone. Later, Severus might return when he realizes he can protect them after all, leading to a reconciliation.
One possible plotline could be that they are researching a very difficult and dangerous dark magic that is starting to surface in Hogwarts. They are in the library trying to find clues in old books to stop it before it causes harm. They might discover a hidden prophecy related to it.
One possible plotline could be that Naruto discovers some long - lost secret about his mother Kushina and decides to leave the village with her to explore this mystery further. Maybe they are on a quest to find some hidden power or knowledge that is related to Kushina's Uzumaki heritage.
One possible plotline could be that Naruto leaves with Tsunade on a mission to find a rare herb that is said to have the power to heal any wound. Along the way, they face various enemies who also want the herb for their own malicious purposes. Naruto's skills and Tsunade's wisdom would be put to the test as they battle their way through.
One possible plotline could be that Harry and Hermione are at a Christmas party at Hogwarts. They find themselves under the mistletoe, and at first, they're both a bit flustered. Hermione might blush and stutter, while Harry is also a bit taken aback. But then, they share a sweet, innocent kiss that makes them realize their feelings for each other are deeper than just friendship. However, they're worried about how Ron would react, so they keep it a secret for a while.
One possible plotline could be that after the war, Harry has some sort of emotional trauma and Hermione, being like a mother figure to him, takes him under her wing more than ever. So, he starts to subconsciously call her mom as he feels a deep connection and a sense of family with her.
One possible plotline could be that Naruto is somehow tricked into leaving with Kisami and Itachi. Maybe they convince him that there is a greater threat that only they can help him face. Along the way, Naruto might start to learn more about their motives and the secrets of their pasts. He could also be in a position where he has to use his own skills and values to influence them.
One possible plotline could be that Sakura decides to raise the child on her own. She focuses on her medical ninjutsu to provide for the baby. Another could be that she tries to find Sasuke again to make him take responsibility. Maybe she faces challenges from the village as a single mother, but her friends support her through it all.
One possible plotline could be that they leave to seek a new form of power. Maybe they've discovered a threat that the Hidden Leaf isn't aware of, and they believe they can find a solution outside. Another could be that they're on a journey of self - discovery. Sakura has always been in Sasuke's shadow to some extent, and this could be her chance to truly find herself while being with him. Also, perhaps they leave due to some political unrest in Konoha that they don't want to be a part of.
Another plot could involve Lucy leaving because she discovers a secret about the father of her baby that makes her feel she can't stay. For example, if she finds out he has a dark past or is involved in something illegal. This would lead to her making the difficult decision to leave on her own.