Well, it could be about Izuku making new friends at the university. Maybe he joins some sort of hero - related study group and they all work together on projects.
Maybe there are some anti - hero groups who target Izuku because they see him as a threat to their plans. They could try to kidnap him or steal his research on heroics from the university.
In this 'izuku controls time fanfiction', perhaps he discovers his time - controlling power accidentally. He then uses it to explore different timelines. He might meet alternate versions of himself and his friends. This exploration of different realities could lead to him finding a way to make his own timeline a better place, like bringing back fallen heroes or preventing the destruction of parts of the city.
Well, it could be that Izuku goes back in time and tries to change the way he became a hero. In the original story, he had a tough time at first. With Momo by his side this time, things could be different. Momo might be able to provide resources or support that Izuku didn't have before. And as Izuku tries to change his own hero journey, he might also end up changing the entire hero society in ways he didn't expect, all while building a deeper relationship with Momo.
One possible plot could be that godlike Izuku uses his newfound powers to go back and prevent certain tragedies in the past. For example, he might stop the initial attack that led to so much chaos in his world. He could also use his knowledge of the future to help his friends earlier, like giving Midoriya tips on how to control his quirk better from the start.
Well, it could be about Izuku being an alien. Maybe he has some super - strange powers that are not like the normal quirks in his world. For example, he could have the ability to manipulate time or space, which would make him really different from other characters.
Maybe it's about Izuku using his wealth to support his hero training in unique ways. He could afford the most advanced support items and training facilities.
One possible plot could be that Izuku suddenly finds himself with Loki's powers and memories. He has to deal with the newfound ability to deceive and manipulate, which goes against his usual honest nature. He might use these powers to outwit villains in a different way than he usually does in his own story.
Well, one possible plot development could be that Izuku uses his time quirk to go back in time and prevent certain tragedies in the story. For example, he might stop villains from causing major disasters or save the lives of his friends who got hurt in the original timeline.
One possible plot could be that Izuku discovers the existence of Danny Phantom through some kind of interdimensional event. He then tries to learn from Danny's way of handling his powers and his secret identity, applying those lessons to his own journey as a hero in training.
In this fanfiction, perhaps Izuku's pet is a magical being. It could be that the pet was sent to Izuku by some mysterious force to help him on his journey to become a great hero. The pet might be able to sense danger and warn Izuku in time. As Izuku grows closer to the pet, he discovers more about its past and the secrets it holds. This relationship could also attract the attention of villains who want to use the pet's power for their own evil purposes, leading to some intense battles and rescues.