This Opening Movie is from an Anime called Re: Cutie Honey. The Cutie Honey Theme Song appears through out all the Anime incarnations of the character. In this Anime, it was performed by Kumi Koda.
"Ai no senshi, Cutie Honey-san!".
PS: "Re" could mean RElease, REmake, REvisited or REvisioned. Thanks to ChocoboKitsune-kun for the suggestions. :)