The structural performance of civil engineering infrastructures exposed to elevated temperatures has been investigated in many recent works. Some of these studies evaluated the residual mechanical behavior of masonry prisms subjected to high temperatures, as these specimens are simplified models (2–5 units in height) that can be easily produced and tested, in terms of operational and economic factors. However, there is no previous literature review on the mechanical properties of fire-damaged masonry prisms. Therefore, this paper presents an investigation of the current state-of-the-art on this topic. It provides a careful review of recent knowledge on the failure mechanisms, residual compressive strength, modulus of elasticity, and stress–strain behavior of masonry prisms made with different types of units, mortars, and/or grout after exposure to different types of thermal treatments. Based on the revised information, future research directions on the scientific field of masonry infrastructures are reported.