This review provides a detailed overview of the rapidly advancing field of biofabrication, particularly with regards to the use of photo-cross-linking (i.e., light-based) techniques. The major emphasis of this review is on the fundamentals of photo-cross-linking and key criteria identified for the successful design and implementation of photo-cross-linked bioinks and bioresins in extrusion-based and lithography-based bioprinting. The general mechanisms associated with photo-cross-linking (e.g., free-radical chain polymerization, thiol-ene, photomediated redox) of natural and synthetic materials are described to inform bioink and bioresin design, which includes the selection of polymers, functional group modifications, photoinitiators, and light sources that enable facile and cytocompatible photo-cross-linking. Depending on material selection and the bioprinting technique of interest, we describe the specific bioink or bioresin properties and criteria that must be achieved to ensure optimal printability and utility. Finally, examples of current state-of-the-art applications of light-based bioprinting for in vitro tissue models, tissue engineering, and regenerative medicine are provided to further motivate future opportunities within the bioprinting landscape that are facilitated with light.