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.

Kimi no na wa. (AKA: Your Name.)

IMDB: 8.4/10

Two teenagers share a profound, magical connection upon discovering they are swapping bodies. Things manage to become even more complicated when the boy and girl decide to meet in person.

Zankyô no teroru (AKA: Terror in Resonance)

IMDB: 7.8/10

Tokyo has been decimated by a terrorist attack, the only clue to the culprit's identity is a bizarre internet video. Two mysterious children form Sphinx, a clandestine entity determined to pull the trigger on this world.

Gekijô ban Kara no kyôkai: Dai go shô - Mujun rasen (AKA: The Garden of Sinners: Paradox Spiral)

IMDB: 7.9/10

A teenage demon hunter uses her mystical powers to investigate supernatural events.

Subete ga F ni naru (AKA: The Perfect Insider)

IMDB: 6.7/10

A researcher and the daughter of his mentor discover a corpse while on vacation and work together to solve the mysteries of what will become a serial murder case.

Carmencita

IMDB: 5.7/10

Performing on what looks like a small wooden stage, wearing a dress with a hoop skirt and white high-heeled pumps, Carmencita does a dance with kicks and twirls, a smile always on her face.

Isshuukan Friends (AKA: One Week Friends)

IMDB: 7.0/10

Kaori has distanced herself from her peers due to a condition that causes her memories to reset every week, but one of her classmates is determined to become friends with her no matter what.

Death Note: Desu nôto (AKA: Death Note)

IMDB: 8.9/10

An intelligent high school student goes on a secret crusade to eliminate criminals from the world after discovering a notebook capable of killing anyone whose name is written into it.