In the last few decades, there have been several advances in ultrafast imaging of light propagation with light-in-flight recording by holography (LIF holography), which can capture light propagation as a motion picture with a single shot in principle. Here, we review the recent advances in LIF holography by considering the perspectives of various development of functional imaging techniques and evaluation of LIF holography with numerical simulation methods. The methods for recording multiple motion pictures such as a space-division multiplexing, a pixel-by-pixel-based space-division multiplexing, and an angular multiplexing technique are added extend the capability of LIF holography. The numerical simulation models used for investigating the image characteristics of LIF hologram are discussed. Finally, a summary and conclusion of recent advances in LIF holography is presented.