One common theme is redemption. Since Obito has made many mistakes in the original Naruto story, in time travel fics, he often gets a chance to right his wrongs through his interactions with Minato. Another theme is the alteration of fate. Time travel allows for the possibility of changing the pre - determined course of events in the Naruto universe.
Well, in fanfiction, if Team Minato watches Obito's future, they might be shocked. For example, they would witness his alliance with Madara and all the destruction he causes. It would be a moment of self - reflection for them. Minato might blame himself for not being there for Obito when he needed it most. Kakashi would also have a hard time seeing his old friend turned into an enemy.
In a fanfiction where Team Minato meets future Obito, it could be a very emotional encounter. Minato might be shocked to see how Obito has changed. Obito, having experienced so much in the future, could bring warnings about future disasters. For example, he might warn about the upcoming threats to Konoha. Team Minato would have to grapple with the knowledge that Obito is no longer the person they once knew.
When Team Minato meets future Obito, there could be a clash of ideologies. Obito, having seen the harshness of the future, might have a more extreme view. Minato, on the other hand, is more idealistic. This could lead to intense debates within the group. Also, Rin's reaction would be interesting. She might be the one to try to bridge the gap between the old Obito and the new, more hardened Obito.
Well, one possibility is that Minato arrives just in time to save Naruto from a powerful enemy like Orochimaru. He could use his Flying Raijin to quickly reach Naruto and then use his other jutsu to fend off the attacker.
Well, there's a fanfiction called 'Time - Bound Encounter'. In this story, Obito's time travel brings him face - to - face with a younger Minato. It explores their different ideologies and how they come to understand each other better through this time - warped encounter. Also, 'The Time - Twisted Bond' is a great read. It shows how Obito's time travel alters the pre - existing relationships and how Minato reacts to the sudden appearance of this time - traveling Obito.
They would probably feel a great deal of guilt. Minato, as Obito's teacher, might think he failed in guiding him. Kakashi would likely be devastated, seeing how his actions towards Obito led to such a dark future. Rin might be heartbroken to see the man she cared about become so corrupted.
Perhaps some rogue ninja from other villages. They might see Naruto as a symbol of Konoha's power and want to take him down to weaken Konoha. These rogue ninjas could be led by a powerful and vengeful shinobi who has a grudge against Konoha. So when Naruto is alone on a mission or something, they attack, and that's when Minato steps in to save him.
Perhaps Naruto would become more in - touch with his Uzumaki heritage. With Kushina being an Uzumaki, she could pass on some unique knowledge or abilities to him. He might also start to explore the history of the Uzumaki clan more deeply, which could open up new storylines and alliances within the Naruto universe.
One possible motive could be to use Sakura as a bargaining chip. If he has some sort of plan against Naruto or the Hidden Leaf Village, Sakura, being a close comrade of Naruto, could be very useful. He might think that by restraining her, he can force Naruto to come to a certain location or make concessions.