<p>The application of retractable roof structures has enhanced the urban landscape, particularly in large-scale public buildings. Miura-ori is an immensely popular and highly inspiring method of paper folding. In this paper, three novel design families of retractable roof structures, integrating Miura-ori (and its variations) with scissor hinge units, are proposed. A concise overview of the concepts of Miura-ori (including its arched and fan-shaped variations), scissor joint unit, and rigid panel is first provided. Subsequently, coordinated motion conditions for the three proposed retractable roof structures are elaborately derived using geometric formulas, and the corresponding solutions are provided when the coordinated motion is not feasible. Lastly, after parameterizing the rigid-panel model, the motion mechanism of the retractable roof structures is analyzed exhaustively. The results indicate that all three new structures can achieve smooth opening and closing operations without motion interference. The proposed novel retractable roof structures enrich the variety of architectural structures and provide practical guidance for engineering applications.</p>