Nowadays, biomaterials have evolved from the inert supports or functional substitutes, to the bioactive materials able to trigger or promote the regenerative potential of tissues. The interdisciplinary progress has broadened the definition of “biomaterials”, and a typical new insight is the concept of tissue induction biomaterials. The term “regenerative biomaterials” and thus the contents of the present paper are relevant to yet beyond tissue induction biomaterials. This review summarizes the recent progress of medical materials including metals, ceramics, hydrogels, other polymers, and bio-derived materials. As the application aspects are concerned, this paper introduces regenerative biomaterials for bone and cartilage regeneration, cardiovascular repair, three dimensional bioprinting, wound healing, and medical cosmetology. Cell-biomaterial interactions are highlighted. Since the global pandemic of COVID-19, the review particularly mentions biomaterials for public health emergency. In the last section, perspectives are suggested: (1) Creation of new materials is the source of innovation; (2) Modification of existing materials is an effective strategy for performance improvement; (3) Biomaterial degradation and tissue regeneration are required to be harmonious with each other; (4) Host responses can significantly influence the clinical outcomes; (5) The long-term outcomes should be paid more attention to; (6) The non-invasive approaches for monitoring in vivo dynamic evolution are required to be developed; (7) Public health emergencies call for more research & development of biomaterials; (8) Clinical translation needs to be pushed forward in a full-chain way. In the future, more new insights are expected to be shed into the brilliant field — regenerative biomaterials.