Organoids are three-dimensional cell cultures generated from different types of stem cells that mimic the structure and function of tissues, providing the ability to reproduce their organ equivalents. This technology has evolved rapidly over a brief period, offering increasingly complex models for the study of organogenesis and all the sciences that derive from it. It has become one of the leading and most promising cell culture tools in biomedical research. This paper is a bibliographic review of scientific articles and documents referencing the biomolecular and historical background of organoids and some of their wide applications in research. It also describes the useful application of this technology for understanding the mechanistic relations of the toxicokinetic and toxicodynamic, and its implementation in research toxicology. To conclude, we discuss the challenges that remain to achieve the complete physiological spectrum of tissues through automated three-dimensional bio-printing of organoids and organ-on-chip technology.