Seeds present a fundamental role since the beginnings of agriculture, propelling the agricultural development of different people in different ages of human history. Its importance has been linked to the possibility of domesticating the most diverse plants in the past and, nowadays, of providing many biotechnological advancements represented by the most diverse cultivars and hybrids introduced into the market. However, the expression of all its capacities depends on the quality of this supply represented by the sum of physical, genetic, sanitary, and physiological attributes. This review shows how the physiological component of the quality of seeds has influenced the agricultural process for the most diverse crops, notedly, for major crops, forages, or vegetables. It is highlighted its central role in fulfilling the growing demands of a growing world population. We emphasize the preoccupation of research, development, and innovation actions in the sense of recognizing the factors that influence the physiological quality of seeds, developing and enhancing methods to estimate, preserve, and increase it, and how the adoption of high physiological quality seeds has influenced the development of the major crops.