The OVA features six separate stories revolving around the cast, some of which border on the bizarre; one of which is an MMORPG environment being played by Konata, Kagami, Tsukasa, and Nanako Kuroi, and another in which Kagami has a "suggestive" dream about Konata. (Source: Wikipedia)

Lucky☆Star follows the daily lives of four cute high school girls—Konata Izumi, the lazy otaku; the Hiiragi twins, Tsukasa and Kagami (sugar and spice, respectively); and the smart and well-mannered Miyuki Takara. As they go about their lives at school and beyond, they develop their eccentric and lively friendship and making humorous observations about the world around them. Be it Japanese tradition, the intricacies of otaku culture, academics, or the correct way of preparing and eating various foods—no subject is safe from their musings. [Written by MAL Rewrite]

One sunny day invaders came from space. They weren't little green men or funny girls wearing school uniforms, though. They were ugly robots which defeated the UN forces in seconds. After that the invaders (known as "eyeballs") roamed around and observed human society. In fact, they were peaceful unless attacked. They were polite and followed all the traffic laws, too. Still, they were aliens and the people of Earth wanted them to go home. The Kitanohashi High School Magic Club took it on themselves to defeat these foul robots and free the world. (Source: ANN)