The Girl Who Leapt Through Time (1985)

I thought that when I entered high school, my days of believing in aliens, time travelers and ESPers were going to be over. That is, until she introduced herself. Claiming to be interested in only aliens, time travelers, and ESPers, Haruhi Suzumiya was the strangest girl I've met in a long time... Before I knew what's going on, I've been dragged into her weird club, and it looks like I'm not the only one who has been drafted into this "SOS Brigade" of hers, because there are three other students who don't seem to be so ordinary themselves.

When their aspiring scientist friend Barry's invention goes awry, best friends Shelby and Cyd gain the power to leap forward and backward in time whenever they want – and sometimes when they don't. Now, they experience the twists and turns of friendship and must decide between fixing mistakes in the past or catching a glimpse of the future. While Barry and his assistant, Naldo, try to figure out how to replicate time travel for themselves, Cyd and Shelby use their newfound power to navigate high school life and Shelby's mischievous twin brothers, Bret and Chet.

It's been nearly 30 years since Dr. Sam Beckett stepped into the Quantum Leap accelerator and vanished. Now, a new team, led by physicist Ben Song, has been assembled to restart the project in hope of understanding the mysteries behind the machine and the man who created it. Everything changes, however, when Ben makes an unauthorized leap into the past, leaving the team behind to solve the mystery of why he did it.

After Bon accidentally intervenes in a Time Patrol case, he must join Agent Ream in saving innocent lives from the past — while watching history unfold.

In feudal Japan, half-demon twins Towa and Setsuna are separated from each other during a forest fire. While desperately searching for her younger sister, Towa wanders into a mysterious tunnel that sends her into present-day Japan, where she is found and raised by Kagome Higurashi’s brother, Sota, and his family. Ten years later, the tunnel that connects the two eras has reopened, allowing Towa to be reunited with Setsuna, who is now a demon slayer working for Kohaku. But to Towa’s shock, Setsuna appears to have lost all memories of her older sister

A group of friends have customized their microwave so that it can send text messages to the past. As they perform different experiments, an organization named SERN who has been doing their own research on time travel tracks them down and now the characters have to find a way to avoid being captured by them.

When heroes alone are not enough ... the world needs legends. Having seen the future, one he will desperately try to prevent from happening, time-traveling rogue Rip Hunter is tasked with assembling a disparate group of both heroes and villains to confront an unstoppable threat — one in which not only is the planet at stake, but all of time itself. Can this ragtag team defeat an immortal threat unlike anything they have ever known?

After finding his mom killed, Satoru's time-traveling ability takes him back 18 years for a chance to prevent her death and those of three classmates.

Robotic cat Doraemon is sent back in time from the 22nd century to protect 10-year-old Noby, a lazy and uncoordinated boy who is destined to have a tragic future. Doraemon can create secret gadgets from a pocket on his stomach, but they usually cause more bad than good because of Noby's propensity to misuse them.

Nearly half the population of Sakurada, a small town near the Pacific Ocean, has some sort of unique power. These powers range from being able to enter the mind of a cat, to resetting the world back to a certain point in time in the past. There is a group known as the "Kanrikyoku" that controls and monitors the use of these powers. Asai Kei and Haruki Misora work for their school’s club called "Houshi" club, which execute any missions received from the Kanrikyoku. Misora has the ability to reset the world 3 days. This means that all events and any memory of the past 3 days that "could have" happened, never happened. Kei has the ability to "remember" the past. Even after Misora uses her powers to reset the world back 3 days, Kei will retain those 3 days in his memory. Combining their powers, these two solve missions issued by the Kanrikyoku.