sora no otoshimono
A comedy manga, with an anime adaption, by Minazuki Suu, published in Shounen Ace. The title literally translates to "What Fell from the Sky," and is the story of the events that transpire after the main character, Sakurai Tomoki, encounters an angeloid (angel android) that fell from the sky.
Side note: androids have no need of food, and this story's organic angeloids certainly do eat - in particular, Nymph and the ever-ravenous Astraea.