Mima, a Tokyo pop star who believes she’s being stalked, is easier to identify with than many cartoon characters, perhaps because her experiences are often depicted with detailed point-of-view shots. These get more and more hallucinatory as she becomes fascinated and terrified by a phantasmagorical alter ego, the purported author of a Web page that presents her daily life for public consumption. This engrossing animated thriller (2000) somehow displays realist gore, nudity, and sexual violence in a tone not too far from that of a children’s adventure; its innocence stems in part from the convincing naivete of the heroine. The Möbius strip narrative is suspenseful but perhaps less scary as a result. Satoshi Kon directed.