Transition toward a sustainable, low-carbon energy future requires innovative, integrated solutions. Hybrid solar-hydrogen systems (HSHSs), which combine solar energy harvesting and hydrogen production, have excellent prosepects to address challenges related to renewable energy generation, storage, and usage. This article presents an overview of the research on the technical and economic feasibility of HSHSs, aimed at comprehensively articulating their current state, notable advancements, and future research directions. It begins by elucidating solar energy principles and conversion methods and emphasizing the potential of solar energy for hydrogen production. This study then explores the definitions, components, and synergistic integration of HSHSs. Optimized energy conversion and storage methods for efficient hydrogen production and storage are also highlighted. This study reviews the techniques employed for techno-economic evaluations over the last six years, addressing challenges such as the intermittency of solar energy and the efficiency of hydrogen production technologies. This review of the ongoing research provides helpful insights into the technological and economic feasibility of HSHSs. This underscores the necessity of continuous research and development efforts to overcome existing challenges and unlock their full potential. These systems can play a vital role in achieving a cleaner and more resilient energy future by optimizing the system performance, reducing costs, and fostering supportive policy frameworks.