Three-dimensional (3D) visualization has opened up a universe of possible scientific data representations. 3D printing has the potential to make seemingly abstract and esoteric data sets accessible, particularly through the lens of translating data into forms that can be explored in the tactile modality for people who are blind or visually impaired. This article will briefly review 3D modeling in astrophysics, astronomy, and planetary science, before discussing 3D printed astrophysical and planetary geophysical data sets and their current and potential applications with non-expert audiences. The article will also explore the prospective pipeline and benefits of other 3D data outputs in accessible scientific research and communications, including extended reality and data sonification. Author Contributions KA, as the principal investigator, provided the main points, literature references and scientific topics, as well as technical writings for the article. SP, as second author and research assistant, formatted the outline and citations, organized the literature review, and provided summative text on specific subsections. MW, as third author, provided detailed editing and drafting, gave input on overall organization, and wrote summary texts as needed.