No cover. No significant damage or stains. This is a used item that a child has used. Please refrain from purchasing if you are looking for a perfect item. A set of various picture books, full of fun stories for children. - Title: Gyoza no Hi (Gyoza Day) - Title: Hanachan Ofuro (Hanachan's Bath) - Title: Senro wa Tsuzuku (The Railroad Continues) Thank you for looking.