It's time for the local summer festival and Kentarou is accompanying Shizue, who has come to visit after being away for a few years. During the festival Kentarou leaves Shizue alone for a bit, and when he finds her again he sees a shocking scene...

Can you suggest me some good anime with some serious psychological plot like Erased?

Kokoro Connect This animes theme isn’t time travel, but there is an element of that here that’s very similar that you’ll like. It’s in the slice of life category. - Madoka Magica Strong time travel elements throughout the entire anime series.
To avoid spoilers, you’ll have to watch for yourself. - The Familiar of Zero A harem anime where the male character (above) is transported to a different place in time, to become a familiar of the pink haired mage. - Orange The main characters send a letter to their “past” selves in order to prevent an incident that happens in the future. Great romance, slice of life, drama series. - Touken Ranbu Historical anime series with elements of time-travel, and it’s quite frequent as well. - Batman Ninja (Movie) New movie released in 2018.
Batman is transported to a historical time in Japan, with nothing but a sword.
And no longer has his bat-mobile or gadgets. - ReZero The ability to go back in time is associated with the main character. - Sunday Without God Like Kokoro Connect, this anime isn’t based on time travel, but it has some elements within certain episodes of this series. - The Melancholy of Haruhi Suzumiya The “time travel” elements are more apparent in season 2. - Dragon Ball Z That’s right, DBZ is an easy one to forget in the “time travel” category.
There’s an element of this in DBZ, DB Super, and some Dragon Ball Z Movies as well. - Magical Shopping Arcade Not the “best” example of time travel, but it’s so close you might want to try it out. - Other Mentions: The Ambition Of Oda Nobuna. Steins Gate. The Girl Who Leapt Through Time. Charlotte. Future Diary.