Compounds with the perovskite structure have been studied extensively because they show a wide variety of physical and chemical properties, and many of the properties are widely used in technological applications. Perovskites and perovskite‐related compounds arguably represent the most important, fundamental, and intriguing family of complex materials. In this chapter, a large variety of the perovskite structure compounds are reviewed and structural features of the fundamental compounds are highlighted. Because the diverse varieties of physical and chemical properties that the perovskite materials show are described in the following chapters, they will not be described in detail in this chapter. Some synthesis techniques for preparing perovskites are also focused on in different chapters.