The female protagonist time travels to the past. However, this is part of her job as she is sent on "missions" to certain historic eras, so the drama overall does not become boring. The protagonist is also considered to be odd/unique to those she meets in the past since she is from the future. She also has a past life and there is a underlying secret to her life.
This is the first season of this drama and both has similar story setting:- a strong-headed heroine (definitely not the damsel-in-distress sort) who had lost her memories of her childhood friend being trapped in an endless cycle of going in and out of different stories where each time she will meet the same guy (playing the male lead) and they will both fall for each other but get separated once her mission for each story is completed. The male lead ended up going from one story to another in the hopes of meeting her again. In the end, they will meet in real life and the back-story on what happened to them will reveal itself but that's something to look froward to in Season 2. This is similar to The Journey with the only difference is in The Journey, the female lead had to complete missions through different historical periods (time-traveling) while the male lead(s) searched for her through time. If you liked The Journey, you'll love The Story of Souls from Endless Books.