An overview of the recent advances in the state-of-the-art holographic recoding media dedicated to the dynamic holography display is presented in this paper. Unlike the traditional holographic media, those materials enable the holograms to be updatable rather than permanent like before. Over the past few years, a number of material recipes for this use have been disclosed and can be mainly divided into four classesphotorefractive/photochromic polymers and photorefractive/photochromic liquid crystals. Focusing on five key material properties related to the display application, including diffraction efficiency, applied electric field, recording intensity, rise time and memory, the important findings as well as the underlying mechanisms are unraveled with in-depth discussion. Moreover, a comparison of the four classes of materials is provided, followed by a projection of the potential challenges.