Those not up to speed on the Miss Kobayashi manga may struggle with the full nuance of this dimension hopping anime, but the visuals are stunningly to look at

You know fantasy has a different constituency these days when, at a pivotal point in this candy-coloured, realm-hopping anime, the protagonist casts a spell that temporarily boosts local mobile-phone signal. During the climactic battle, it’s salarywoman Miss Kobayashi (voiced by Mutsumi Tamura) who is dialling up extra help from Kanna (Maria Naganawa), the moony, bobby-soxed poppet who’s one of the dragons in human guise that have invaded her life (and demanded a smartphone).

Kanna is very much sought after: with a big smackdown brewing between the forces of chaos and harmony in the dragon dimension, her father Kimun Kamui (Fumihiko Tachiki) turns up at Kobayashi’s flat to demand either his daughter return to fight, or give him the dragon orb into which she has loaded her manna. Offended by his saurian sangfroid, Kobayashi refuses to give Kanna up; when her posse start digging around in the other realm, it appears that human mage Azad (Nobunaga Shimazaki) has been stoking tensions between the two factions.

Director and star Albert Birney goes through the looking glass to tackle a Zelda-esque dog rescue quest inside his 80s gaming machine in endearingly imaginative fantasy

If David Lynch had been born 20 years later and fetishised 1980s home-computing tech, this is the kind of film he might have made: black-and-white analogue surrealism, with smudges of dot-matrix horror. Director Albert Birney stars as “Computer Conor”, a shut-in who makes a living from virtuosically tapping out ASCII reproductions of people’s favourite photos and, on his downtime, watching several VHSs simultaneously on his three-television-high stack.

Outside is Mary (Callie Hernandez), an unseen grocery-delivery girl, and the unsettling writhings of the biological world in the shape of an emerging cicada brood. But Conor is invaded from within when he subscribes to Obex, a mail-order sword-and-sorcery video game that allows you to personalise your own avatar. Initially disappointed, he becomes more enveloped when his printer of its own accord spits out a command: “Remove your skin.” And then the game’s radiant demon Ixaroth arrives in his apartment and spirits away Conor’s pooch, Sandy.