For Games of Thrones time travel fanfiction, consider this. Bran Stark, with his new - found time - traveling abilities, could go back much further than just recent events. He could go back to the time of the First Men and the Children of the Forest. He could witness the creation of the Wall and the pact between the two races. Then, he could bring that knowledge back to his present time and use it to fight against the White Walkers in a more informed way. Maybe he could even find a way to make peace with the White Walkers by understanding their origin better.
One idea could be Sansa traveling back to the very beginning of the series and using her knowledge to prevent Ned Stark's death. She could subtly manipulate events, like warning her father about Littlefinger's true nature. Another could be her going back to the time of the Mad King and trying to find a way to end his reign more peacefully, which would change the entire future of Westeros. Or perhaps she travels to a time during the War of the Five Kings and allies with different houses in a new way to secure the North's future.
Well, you could write a Games of Thrones fanfiction where the dragons have different personalities. Maybe one dragon is super friendly and tries to make peace between all the warring factions. Another idea is to create a story set in the past, during the time of Aegon the Conqueror, but with a twist. For example, what if there was a powerful female sorceress who tried to stop Aegon's conquest? And a fanfiction about how the smallfolk deal with all the chaos of the wars and power struggles among the nobles would also be quite interesting.
One idea could be an original character traveling back to the time of Aegon's Conquest. They could try to change the course of history by preventing certain alliances from forming. For example, they might stop the Starks from allying with the Targaryens, which would have huge ramifications for the future of Westeros.
Daenerys Targaryen. She has a strong will and a mission to claim the Iron Throne. If she time - traveled, she could meet her ancestors and learn from their successes and failures. She could also try to prevent the downfall of her family in the past, which would have a huge impact on the present state of Westeros in the fanfiction world.
A possible plot in this fanfiction could be that the wolves start to exhibit signs of intelligence that are far beyond what was previously known. They begin to form their own society within the wilds of Westeros. Some characters might try to study them, while others see them as a threat. This could lead to a whole new set of alliances and conflicts, as different factions take different stances on how to deal with these intelligent wolves.
One idea could be Yoda traveling back in time to train Anakin Skywalker differently, thus preventing his fall to the dark side. Maybe he goes back to the very beginning of the Jedi Order to gain more knowledge about the Force and bring it back to his own time.
One idea could be Shinji traveling back in time to prevent the Second Impact. He might try to change the actions of his father that led to it. Another could be Asuka traveling to a future where the Evangelions have been completely forgotten and she has to figure out how to get back to her own time.
Another plot could be a character from the future coming back to the present in Shameless. They could be trying to stop a future disaster that is somehow linked to the Gallagher family. This would involve a lot of mystery and intrigue as they try to figure out what the future event is and how to prevent it while dealing with the chaos of the present - day Gallagher family.
One idea could be Goten traveling back to the Saiyan - Saiyan war era. He could end up changing some small events that have big impacts on the future, like uniting some Saiyan clans earlier. This would create a whole new timeline where relationships between characters are different.
Maybe a character travels forward in time and sees a dystopian version of the ACOTAR world. They then have to go back and try to prevent the events that led to that future. They could face many challenges along the way, like not being believed or having to work against powerful forces who benefit from the future they saw. It would be a race against time to save their world.