Melt-cast carrier explosives are fundamental low-melting-point constituents for melt-cast explosive formulations， and their properties are critical to the engineering practicability of melt-cast explosives. To address the inherent drawbacks of the traditional melt-cast carrier explosive 2，4，6-trinitrotoluene （TNT）， energetic eutectic mixtures have emerged as a popular research focus， benefiting from their tunable thermochemical properties， energy and safety performances. Methods for constructing T-X and H-X phase diagrams of energetic eutectic mixtures are elaborated， alongside approaches to determine their compositions， melting points and phase distribution rules. Additionally， the state-of-the-art studies on energetic eutectic mixtures based on 1，3，3-trinitroazetidine （TNAZ）， 3，4-dinitrofurzanfuroxan （DNTF）， 1-methyl-3，4，5-trinitropyrazole （MTNP） are discussed. On the basis of current research situation， the development potential and core research directions of energetic eutectic mixtures are proposed. This work intends to facilitate the design and formula optimization of novel low-sensitivity， high-energy melt-cast explosives.