The challenges of conventional semiconducting electronics, such as dark silicon, memory wall, and stagnant clock frequency motivate the search for alternative computing technologies. Superconductive electronics (SCE) represents one of the most advanced beyond-CMOS technologies, with the potential of revolutionizing high-performance computing. In this review, the advancements of SCE over the past 25 years are presented. Novel logic families, circuit design techniques, and electronic design automation tools for SCE circuits are described. Eventually, future advancements in SCE are discussed from circuit and system design perspective.