Gaara could also show up. Since he has a connection with Naruto, he might offer Naruto a place in Suna. They could form an even stronger alliance. And then there's Tsunade. She might be involved in the politics that led to Naruto's banishment or could be the one to later reverse the decision if she realizes the village made a mistake.
Sasuke is often a common character. He might have a different reaction to Naruto's banishment compared to the original story. Maybe he decides to join Naruto outside of Konoha or tries to find a way to get him back. Kakashi could also be there. He might be conflicted about Naruto's banishment and could play a role in either helping Naruto secretly or trying to uphold Konoha's decision.
Jiraiya could be another one. Since he was Naruto's mentor, he might go after Naruto when he's kicked out and continue to train him in secret.
Sasuke would likely be involved. He has his own issues with Konoha and might side with Naruto, either out of friendship or his own vendetta against the village. Also, the elders of Konoha like Danzo could be important characters as they might be the ones behind Naruto's banishment.
Hinata could also be a common character. She may try to help Naruto secretly, or be heartbroken by his banishment and strive to change the village's decision. Another character could be Kakashi. He might be one of the few who believe in Naruto's innocence and try to find a way to bring him back to the village.
Gaara could be one of the characters. He has a bond with Naruto and if Naruto is against Konoha, Gaara might get involved to help Naruto or at least try to mediate. Shikamaru is another likely character. His intelligence would make him a key figure in trying to understand Naruto's motives and also in devising strategies for Konoha. Hinata might be involved as well, because of her feelings for Naruto. She might try to protect Naruto from Konoha's attacks.
Sasuke could definitely be one. He might be conflicted about Naruto's banishment, either thinking Naruto deserved it at first and then changing his mind, or trying to find a way to bring Naruto back. Kakashi could also be in it. He might be one of the few in the village who believe in Naruto's innocence and try to secretly help him.
In many 'Naruto Exiled from Konoha' fanfictions, the Akatsuki members could be involved. They might view Naruto as a valuable asset now that he's an outcast from Konoha. Naruto could either befriend some of them, like Pain, who sees Naruto's potential and decides to help him in his exile, or he could be constantly on the run from them as they try to capture him for their own purposes.
Jiraiya often appears. Since he was Naruto's mentor, when Naruto travels back in time, Jiraiya can play an important role. He could be the one to initially believe Naruto's story about coming from the future. Another common character is Kakashi. Kakashi was Naruto's teacher and his presence in the time - travel story can add a lot of interesting interactions, like Naruto showing Kakashi things he wouldn't know yet in that timeline.
The council members themselves would be key characters. They are the ones making the decision to banish Naruto. Also, characters like Iruka sensei could play an important role. He might be torn between his loyalty to the village and his belief in Naruto. Another could be Sasuke. He might react in different ways, either trying to help Naruto or seeing it as an opportunity to prove his own superiority.
Maybe a group of rogue ninjas who initially see Naruto as a target but then end up joining forces with him. They have different skills and personalities that add to the story.
Iruka sensei is almost certain to be in it. He has always been important in Naruto's life. Also, Sakura might be there. She could be one of the first to welcome Naruto or perhaps she might initially be a bit cold because of her past feelings for Sasuke. Other characters like Kakashi sensei could also make an appearance, guiding Naruto in his new life in Konoha.