Flip Flappers (Japanese: フリップフラッパーズ, Hepburn: Furippu Furappāzu) is a Japanese anime television series produced by Studio 3Hz. It was directed by Kiyotaka Oshiyama and written by Yuniko Ayana, with concept art by Tanu, character designs by Takashi Kojima, and music by To-Mas. The 13-episode series first aired from October to December 2016. Flip Flappers revolves around two girls, Papika and Cocona, as they travel through parallel universes to gather fragments of a wish-granting object.

Oshiyama, who previously worked on Den-noh Coil and Space Dandy, debuted as a series director with Flip Flappers. During production, several staff members departed from the project and the airing date was delayed from 2015 to 2016. The series has been examined for its thematic connections to psychology and fairy tales; Oshiyama has cited the influence Jungian psychology and theories of perception in developing the show's concept. Further analysis has focused on the yuri elements in Cocona and Papika's relationship.

Flip Flappers has received generally positive reviews: commentators praised its visual identity and treatment of intimacy between its protagonists, though many were critical towards the role of fanservice in the series and the production quality of later episodes. The series is licensed by Sentai Filmworks in North America, who released an English-language dub in 2017, and by MVM Films in the United Kingdom.

Cocona, a girl who lives with her grandmother in Fukushima, attends middle school with her childhood friend Yayaka. While struggling to choose a future high school, Cocona sees a girl on a flying surfboard. The girl introduces herself as Papika and tries to befriend Cocona before a robot drags them down a pipe. Entering a world called Pure Illusion, Cocona uses superhuman abilities to save Papika from falling into an ocean. Shocked at the day's events, Cocona returns with Papika to the real world, and wakes up holding a glowing stone.

Papika says that the glowing stone is a fragment of a wish-granting object, and that she needs Cocona as a partner to find the remainder in Pure Illusion. While initially reluctant, Cocona accepts her invitation. Papika recruits Cocona into an organization called FlipFlap; its leader, Salt, is determined to find the "amorphous" fragments to "liberate Pure Illusion." During an expedition in a desert world, Cocona and Papika transform into magical girls named Pure Blade and Pure Barrier. They discover that Yayaka and her two cohorts, Toto and Yuyu, are also hunting fragments on behalf of Asclepius, FlipFlap's rival organization. In successive trips to Pure Illusion, Cocona and Papika solve a time loop, experience the memories of their upperclassman Iroha Irodori, and collaborate with Yayaka to collect more fragments. Toto and Yuyu attack and abandon Yayaka when she fails to retrieve a fragment inside Cocona's thigh. As FlipFlap treats Yayaka's injuries, Papika regains memories of the past and briefly mistakes Cocona for Mimi, the name of Papika's former partner and a recurring figure in Cocona's dreams.

Asclepius attacks FlipFlap, and Yuyu divulges that Yayaka had initially befriended Cocona to spy on her for Ascelpius. Cocona evades capture but is ambushed by her grandmother, an Asclepius robot, who tells her that "everything was a lie." Mimi, revealed to be Cocona's mother, reappears by possessing Cocona's body and absorbs the collected fragments. After taking over Asclepius, Mimi vows to make Pure Illusion a place for Cocona alone. It transpires that Mimi, Papika, and Salt were escapees of a laboratory. Mimi, a test subject described as "the only one who can go to Pure Illusion", assumed a possessive personality and destroyed the laboratory after the researchers took Cocona away from her. Papika stopped Mimi by embracing and shattering her, which created the fragments. After wandering Pure Illusion, Papika collapsed under a tree and physically reverted to Cocona's age.

In the present, Yayaka and Papika return to Pure Illusion to save Cocona from Mimi's control. While battling Mimi and monsters from previous worlds, Yayaka achieves her own transformation with a fragment she received from Salt. Mimi's gentler personality manifests in Pure Illusion and convinces Cocona to choose her own path in life. Cocona and Papika proclaim their love for each other and defeat Mimi's possessive personality. After briefly losing each other in Pure Illusion, the two return to the real world.

Flip Flappers was originally pitched as a space opera to series director Kiyotaka Oshiyama by the founders of Studio 3Hz. Oshiyama, who was a director of animation on Den-noh Coil and an episode director on Space Dandy, adjusted the show's concept by having the main characters traverse parallel universes instead of outer space. Oshiyama also designed several settings in the series from locations in Fukushima Prefecture, such as the Adatara Shrine and Mizuiro Park in his home town of Motomiya. The production team considered making the protagonists either primary or high school age, but settled on middle school to depict the emotional volatility of adolescence. In particular, Oshiyama likened Papika to protagonists in shōnen manga that he had read in his youth.