As one of the most appealing two-dimensional materials, graphene (Gr) has attracted tremendous research interest in optoelectronic device applications for its plenty of exceptional electrical and optical properties. The emergence of Gr/semiconductor hybrid heterostructures provides a promising platform for assembling high-performance optoelectronic devices that can overcome intrinsic limitations of Gr. However, although significant achievements have been made, many challenges still exist. Here, we comprehensively review the progress in the development of various optoelectronic devices based on Cr/semiconductor hybrid heterostructures, including /group II-VI nanostructures, /group III-V semiconductors, /group IV semiconductors, /metal oxides and /other semiconductors, in terms of the device design, device performance and physics, processing techniques for performance optimization, etc. In the final section, conclusions of the existing techniques are presented and future challenges in optoelectronic applications of Gr/semiconductor hybrid heterostructures are addressed. (C) 2018 Elsevier Ltd. All rights reserved.