Wish Upon the Pleiades

Subaru is a young girl who discovers that her best friend Aoi is part of a magical group trying to gather engine fragments so that a little being from Pleiades can return to his home. Subaru considers joining them as she was chosen by the Pleiadian, president of this afterschool club.

Cardcaptor Sakura

One day, Kinomoto Sakura, a 4th grader stumbles upon the mysterious book of Clow. Upon opening it and reading the name of The Windy aloud, Sakura scatters the cards to the winds. Sakura is elected and appointed by Keroberos, Guardian of the Cards to capture the remaining cards. With her friend Tomoyo and rival Syaoran, Sakura begins an adventure that will forever change her.

Mewkledreamy

The story begins when a middle school girl named Yume sees something fall from the sky, and meets a pale violet-colored kitten named Mew. It turns out that Mew has the power of "Yume Synchro" (Dream Synchro), the power to enter dreams. In the dream world, the girl and Mew collect Dream Stones. (Source: Anime News Network)

Full Moon

Twelve-year-old Kouyama Mitsuki was devastated when she was diagnosed with a malignant tumor of the throat. She had made a promise to the boy she loves that she would one day become a singer, but her illness made singing impossible. To make matters even worse, two angels of death, Takuto and Meroko, appeared to Mitsuki and informed her that she only had one year left to live. This news provides an even greater motivation for Mitsuki to fulfill her dreams, and with a little bit of divine intervention, she begins her quest to become a professional singer so she can be reunited with Eichi before time runs out. (Source: Anime News Network)

The Demon Girl Next Door

When Yuuko Yoshida wakes up one morning to discover that she’s sprouted horns and a tail, she learns something that her mother has been meaning to tell her. You know that battle between the Light and Dark that’s been going on since the dawn of time? Well, Yuuko’s family are the bad guys. So now, Yuuko has to defeat a local magical girl to win back some of her family’s vanquished power so they can afford to go to the all-you-can-eat pancake restaurant. And, of course, it turns out that the Magical Girl goes to Yuuko’s school, but Momo’s really nice and keeps rescuing Yuuko, which is pretty embarrassing and leaves Yuuko rather conflicted… but… all you can eat pancakes? (Source: Sentai Filmworks)

Revue Starlight

The franchise centers on "Starlight" — the song and dance revue troupe loved throughout the world. Karen and Hikari make a promise with each other when they're young that one day they'll stand on that stage together. Time passes, and now the girls are 16 years old. Karen is very enthusiastic about the lessons she takes every day, holding her promise close to her heart. Hikari has transferred schools and is now away from Karen. But the cogs of fate turn, and the two are destined to meet again. The girls and other "Stage Girls" will compete in a mysterious audition process to gain acceptance into the revue. (Source: Anime News Network)

Hina Logic - from Luck & Logic

On a spring day when the cherry blossoms have started to fall, the naïve princess of a small country, Lion begins her days at a school in Hokkaido. The school houses a special facility run by ALCA that trains Logicalists who protect the peace of the world. Lion has a lot of unique classmates in Class 1-S, including Nina, a Logicalist. This is the story of the energetic and adorable days the Logicalists-in-training spend together. It’s time to Trance!</i> (Source: Crunchyroll)

The Melancholy of Haruhi Suzumiya

Kyon, your typical high school student, has long given up his belief in the supernatural. However, upon meeting Haruhi Suzumiya, he quickly finds out that it is the supernatural that she is interested in; aliens, time travelers and espers among other things. When Haruhi laments about the lack of intriguing clubs around school, Kyon inspires Haruhi to form her own club. As a result, the SOS Brigade is formed, a club which specializes in all that is the supernatural. Much to his chagrin, Kyon, along with the silent bookworm, Yuki Nagato, the shy and timid Mikuru Asahina, and the perpetually smiling Itsuki Koizumi, are recruited as members. The story follows the crazy adventures that these four endure under their whimsical leader, Haruhi. The story is based on the light novels by Nagaru Tanigawa. Note: This entry is for the original 14-episode 2006 airing. The series was further expanded and reordered into <a href="https://anilist.co/anime/4382/Suzumiya-Haruhi-no-Yuuutsu-2009/">a 28-episode series in 2009.</a>

TOKYO MEW MEW NEW

The scientists of the μ(Mew) Project use DNA of endangered species to create a team of heroines imbued with amazing super-human abilities. One of them, Ichigo Momomiya, awakens to discover she is armed with all the skills of a Iriomote cat. Ichigo must band together with other Mew Mew girls to repel an alien incursion, all the while hiding their thrilling double lives from friends and family. (Source: Sentai Filmworks)

Space Dandy

The story of the anime revolves around Dandy, an alien-hunter. His job is to seek out new aliens never seen before, and receives a reward whenever he finds a new species. His mission is to find those new species faster than anyone else as he travels the galaxy. Together with the bucket-of-bolts robot QT and the dimwit alien Meow he picked up along the way, he comes into contact with new planets and their inhabitants.. (Source: Anime News Network)