Anna to the Infinite Power (1983)

Plot

Anna Hart, a brilliant yet peculiar child, grapples with shoplifting, a phobia of flickering lights, and unsettling prophetic dreams. Her life takes an eerie turn when a mysterious neighbor, MacKayla, moves in next door. The situation escalates when Anna spots a doppelgänger on television, prompting her to delve into the identity of the other girl, Anna Smithson. As her search unfolds, Anna uncovers a haunting connection to a woman named Anna Zimmerman, who died two decades earlier, ultimately revealing profound truths about her own identity and existence.