One idea could be that Naruto has to face a powerful new enemy who has kidnapped Sakura's team. Naruto uses his new and improved Rasengan techniques to fight through hordes of minions and rescue them. Another could be that the team is trapped in a genjutsu world created by an evil shinobi, and Naruto, with his strong will, breaks the genjutsu and saves them.
Naruto could show his growth by using more strategic thinking during the rescue. Instead of just rushing in, he might plan his approach, which shows he's become more mature. For example, he studies the enemy's patterns before making a move.
Well, in a 'sakura dies saving team 7 fanfic', the plot could go like this. Sakura might be in a situation where Team 7 is facing an overwhelming threat. She could put herself in harm's way to buy time for Naruto, Sasuke and Kakashi. For example, if they are being attacked by a group of powerful ninjas, Sakura might use her chakra - enhanced strength to create an opening for the others to flee. And in the end, she succumbs to her injuries while the rest of Team 7 is saved.
Well, one possible plot could be that Naruto discovers Ino's team is in a dire situation in a dangerous mission. Maybe they are trapped in an enemy lair. Naruto, with his quick thinking and powerful jutsu, manages to fight off the enemies one by one to reach Ino's team. He then uses his Rasengan to break through any barriers that are keeping them trapped and finally saves them.
Naruto's character could be developed by showing his growth in leadership. When saving Ino's team, he might take charge more confidently compared to his earlier days. For example, he could be seen giving clear instructions to the team during the rescue operation, which shows his development from a reckless kid to a more responsible ninja.
Well, often in such fanfictions, a theme is the power of friendship. Naruto's act of saving Sakura shows how far he'd go for a friend. It can also show the fragility of life in the Naruto universe. His death would shock everyone and make them reevaluate their own lives and goals. There might be a theme of redemption too. Maybe Sakura has made some mistakes in the past, and Naruto's sacrifice makes her want to be a better person. And of course, there's the theme of grief. All the characters would have to deal with the loss of Naruto in different ways, which can be really interesting to explore in the fanfiction.
One scenario could be that the bullies are picking on Sakura at the ninja academy. Naruto arrives late and sees what's going on. He immediately challenges the bullies to a sparring match, which they can't refuse because of Naruto's status as a top student. During the match, Naruto easily outmaneuvers them and makes them look foolish, causing them to run away in embarrassment.
One possible fanfiction could be about a new mission for Team 7. Naruto, Sakura and Kakashi are sent to a mysterious village where the villagers are being haunted by strange apparitions. Naruto, with his usual enthusiasm, jumps right into trying to figure out what's going on. Sakura uses her medical ninjutsu to help those who have been injured by the apparitions. Kakashi, being the experienced leader, observes and strategizes. They discover that an old enemy has resurfaced and is using dark magic to create these apparitions as a distraction while they plan to steal a powerful artifact from the village. In the end, Team 7 works together to defeat the enemy and save the village.
Sakura is also very popular. Fanfiction writers often give her more development than in the original series. They might explore her as a powerful kunoichi in her own right, not just relying on Naruto and Sasuke. For example, she could have her own special jutsu that she masters and uses to protect the team.