One interesting plot twist could be that when they do the time warp again, they end up in a parallel universe where the rules of time and space are completely different. For example, time runs backwards in some areas and forwards in others. Another could be that they bring back a character from the past who has the power to change the future of their world in unexpected ways.
The characters' relationships can change in many ways. For example, if a character is sent back to a time when they were enemies with another character, their current friendship could be tested. They might start to remember old grudges and act differently towards each other.
One interesting plot twist could be that the Titanic travels to a future where sea levels have risen drastically. The ship, which once was a symbol of luxury travel, now becomes a symbol of a bygone era struggling against the new, harsh environment. The survivors have to adapt to this new world and use the ship's resources in ways they never imagined.
One interesting plot twist could be Naruto changing the past in a way that completely alters the future relationships. For example, if he manages to prevent certain tragedies from happening to his friends' families, it could lead to very different dynamics. Maybe Sasuke's family wouldn't be massacred, and Sasuke would grow up in a completely different environment, which might change his entire attitude towards the village and Naruto himself. This could lead to a whole new set of adventures and challenges for Naruto as he tries to adapt to this new timeline.
They could time travel to a future where everything they knew is in ruins. In this desolate future, they find out that their actions in the past led to this destruction. Now they have to work together to go back in time again and correct their mistakes. Sakura uses her intelligence to figure out what went wrong, while Madara uses his combat skills to protect them during their journey through time.
A really cool plot twist would be if during their time travel, they find out that time itself is a sentient being or is being controlled by an unknown force. This force has been manipulating events in the Soul Society and the human world all along. Ichigo and Urahara then have to figure out how to deal with this new discovery, whether to fight it or try to negotiate, while also trying to find their way back to their own time.
One interesting plot twist could be that Severus Snape, as a 'king' in the fanfiction, discovers a long - lost magical art that gives him the power to change the past. This could lead to him preventing some of the tragedies that happened in the original Harry Potter story, like Lily's death. Another could be that he rules over a hidden magical realm where the rules of Hogwarts and the wizarding world as we know it don't apply, and he has to constantly defend this realm from dark forces that want to take over.
Maybe Naruto has the ability to deceive even the all - seeing Sage Mode. He could use this to his advantage during battles or important diplomatic meetings. For example, he could make enemies believe he is in a much weaker state than he actually is, only to turn the tables when they least expect it. This would add a whole new layer of strategy to his character.
One interesting plot twist could be that Tony discovers an unknown power of the Infinity Stones that even Thanos was unaware of. Maybe it's a power that can reverse time not just for a single person but for an entire planet. This would completely change the power dynamics in the story.
Time travel paradoxes are also common. For instance, the grandfather paradox where a character goes back in time and accidentally causes something that would prevent their own existence. Writers in Time Warp fanfiction often have to find creative ways to resolve these paradoxes, which makes for engaging reading.
One possible plot twist could be that Narukaka travels back in time and accidentally changes a small event that has huge, unforeseen consequences in the future. For example, preventing a minor meeting between two people that was supposed to lead to a great discovery.