The story about a boy and a magic lamp is called "Aladdin." It is a popular tale from the collection known as "One Thousand and One Nights" or "Arabian Nights." Aladdin, a poor youth, is granted three wishes by a genie from the lamp he discovers. The story explores themes of adventure, love, and the moral lessons that accompany granting wishes. It has been adapted into numerous films, musicals, and other forms of media, maintaining its popularity through generations due to its enchanting narrative and memorable characters.