In the last twenty years, high energetic materials have changed significantly. Several factors have influenced the development of these materials, which include new operational requirements such as insensitive ammunition (IM), as well as factors in the availability of new materials and new production techniques, safety assessment, and modeling. All this enables more efficient use of materials and a more detailed understanding of the processes involved in the application of new technologies. This work presents new insensitive secondary high explosives such as TATB, FOX-7, GUDN, NTO, and others that are in different stages of development. A review of these explosives is given and their stability, reliability, and specific application are described. Energy materials are known to be chemical compounds or mixtures that contain significant amounts of energy and it has been shown that successful design of new energetic materials with customized performance properties and increased stability is possible. The properties of new insensitive energetic materials must be further researched and improved before they can be used in new or existing systems. Insensitive ammunition testing is a vital component of many national IM programs. The international community has established requirements for testing the insensitivity of materials and developed six unique tests based on testing the response of the material to the effects of heat, impact, or shock.