One idea could be Luke traveling back in time to the Clone Wars era. He could meet his father, Anakin Skywalker, before his fall to the Dark Side and try to prevent it. Maybe he uses his Jedi skills to influence Anakin in a positive way, like teaching him some advanced Jedi techniques that could strengthen his connection to the Light Side.
His time - traveling could have a huge impact. If he changes something in the past, it could create a ripple effect. For instance, if he stops Anakin from turning to the Dark Side, the whole Sith - Jedi dynamic in the galaxy would be different. There might not be an Empire, and the Jedi Order could have thrived without the purge.
One interesting aspect could be that Luke goes back to a time when the Sith were just emerging. He could try to root out the Sith threat before it became as powerful as it did. He might have to be very careful not to disrupt the timeline too much, but his Jedi wisdom could be a great asset in this time - traveling adventure.
If baby Luke time - travels to a post - apocalyptic future in the Star Wars universe, he could be the key to rebuilding the Jedi Order. His very existence could inspire the survivors to start anew. They might look at his pure connection to the Force as a sign that there is still hope for a better future, and they would protect and train him to become a great Jedi, changing the fate of the galaxy once again.
When traveling to the future, Luke could become more desperate. Facing a world in chaos or a new, powerful enemy, he'd have to quickly adapt and find solutions. This would make him more willing to take risks and use powers in ways he hadn't before. His view of the Force might also expand as he encounters new forms of it in the future.
One idea could be that baby Luke Skywalker time - travels to the era of the Old Republic. He could end up being found by a Jedi Master there and starts his training much earlier. This would completely change the course of the Star Wars timeline as he'd be much more powerful by the time the original trilogy events are supposed to occur.
It could be that Luke has a unique connection to the Force that gives him the power of time travel. He might have to enter a deep meditative state, and during this trance, he can project his consciousness through time. If he wants to physically travel, he has to use a great deal of his Force strength to fully materialize in another time.
Luke could also go back to meet his father, Anakin, when he was still a young boy. He could be like a mentor to him, teaching him about the Force in a different way. This might prevent Anakin from ever turning to the dark side, which would rewrite the entire Star Wars story. He could introduce Anakin to different ways of using the Force that are more positive and less focused on power and control.
Another interesting plot is Luke traveling to the future. He discovers a galaxy in chaos due to a new, powerful dark force. He has to adapt to new technologies and new forms of the Force while also finding a way to defeat this new threat. He might meet descendants of his friends and foes, which would add an interesting dynamic.
One idea could be Luke traveling back in time to the Clone Wars era. He could meet Anakin Skywalker before his fall to the Dark Side and try to change his fate. Maybe he'd use his knowledge of the future to prevent certain battles or alliances that led to the downfall of the Jedi Order.