There are many time-traveling animes that can be referred to as the following popular time-traveling animes: 1." The Girl Who Traversed in Time and Space ": It was a very touching story about a girl who met the future through time travel. 2. Diary of the Future: It is a very interesting anime that tells the story of a group of young people manipulating time to travel through time and space through their diary. 3. The Gate of the Fate Stone: It was a shocking story about a group of people who traveled through time and space to prevent the collapse of the world line. 4." Battle of the Date ": It was a very cute anime that told the story of a group of girls who traveled through time and space through dating. 5. Index of Forbidden Magic Books: It was a very exciting story about a group of people who traveled through time to stop the abuse of magic. These are some of the more popular time-traveling animes. I hope they can help.