Serial Experiments Lain

IMDB: 8.1/10

Strange things start happening when a withdrawn girl named Lain becomes obsessed with an interconnected virtual realm known as "The Wired".

Kobayashi-san Chi No Maid Dragon (AKA: Miss Kobayashi's Dragon Maid)

IMDB: 7.7/10

Office worker Kobayashi's boring life changes after she drunkenly saves a dragon. To pay her back, Tohru takes human form and becomes her maid.

Boogiepop wa Warawanai (AKA: Boogiepop and Others)

IMDB: 6.4/10

There is an urban legend that tells of a shinigami that can release people from the pain they are suffering.

Gekijouban Ano hi mita hana no namae wo bokutachi wa mada shiranai. (AKA: Anohana the Movie: The Flower We Saw That Day (Ano hi mita hana no namae wo bokutachi wa mada shiran)

IMDB: 7.3/10

A group of friends were separated when one of them died in an accident. Later on she comes back as a ghost trying to get into heaven but to do that her friends must grant her a wish.

FLCL

IMDB: 8.1/10

Mysterious things start happening when 12-year-old Naota meets a strange woman on a Vespa wielding a big guitar.

Boku no Hîrô Akademia za Mûbî Futari no Hîrô (AKA: My Hero Academia: Two Heroes)

IMDB: 7.3/10

All Might and Deku accept an invitation to visit an artificial floating island called I-Island, where they fight a villain who takes the city hostage.

Re: Creators

IMDB: 6.9/10

Sota Mizushino is transported to his favorite anime. A strange villain appears, then Sota returns with the anime's heroine. More fictional characters appear in Tokyo. Why do these characters connect?