I've only seen te movie which is some sort of a preview to the manga story. However the plot is centred around the introduction of 2 new fatimas. Fatimas are the only one who can combine with those headliners which are just plain robots and make them more efficient. And in this story there's two fatimas who are sisters and they are being held captive by the prime minister of the country. From the Joker system then arrives the Sun King who is disguised as Ladios Sopp, a freelance headliner. He was some sort of a future lover of one of the fatimas, Lachesis. In this story he came to realise his love for Lachesis yet could not for the Sun King hates all fatimas. Also are the introduction of the president of the country to check on the assumed black market trading by the prime minister. In the end, the story concludes into the future of Five Satr Stories of the manga.