Elastic thermobarometry can be used to constrain the pressure and temperature conditions of mineral crystallization by exploiting the difference in the elastic evolution of a mineral inclusion and its host during cooling and decompression. In this work we examine the pressure-temperature sensitivity of >5,000 untested inclusion-host pairs. Hosts such as diamond and zircon are ideal host minerals because their low compressibility makes them rigid containment vessels. Highly compressible inclusions such as albite, graphite, and quartz serve as the most reliable barometers. We provide three case studies of inclusion-host pairs from different geologic settings to demonstrate the advantages and challenges associated with these mineral pairs. Apatite inclusions in olivine from Yellowstone caldera mostly record negative residual pressures (tension) and suggest magmatic crystallization at 0.4 GPa. Rutile inclusions in garnet from Verpeneset eclogites record near ambient conditions and do not recover reasonable metamorphic conditions of rutile entrapment. These results suggest that stiff inclusions may have a tensile strain limit, a possible limitation of elastic thermobarometry. Albite inclusions in epidote from a blueschist (Syros, Greece) record geologically reasonable entrapment pressures, but a large range of residual pressures that may be caused by the complex anisotropy of both phases. Our theoretical and applied results indicate that elastic thermobarometry has the potential to be used to understand petrologic processes in diverse geologic environments, including mantle, metamorphic, and magmatic settings but that each elastic thermobarometer requires careful evaluation. Plain Language Summary Determining the pressures and temperatures at which rocks forms is crucial to understanding processes that occur on Earth. The pressures and temperatures at which rocks form can give insights into processes such as the following: At what depths (pressures) do magmas form? How deep (pressure) do rocks go where continents or ocean plates collide? What are the conditions under which diamonds form? The geologic community has for many years developed methods to constrain the pressure and temperatures at which rocks form. Recent developments have tried to take advantage of the difference in the mechanical and physical properties of two mineralsone being trapped (inclusion) inside of another (host). The trapped mineral can retain some pressure at the Earth's surface, and we can try to estimate the initial conditions at which the inclusion was trapped by the host mineral. Here, we present new potential inclusion and host pairs that can be used to constrain these initial pressure and temperature conditions and discuss potential limitations associated with these mineral pairs. Some of these inclusion-host pairs may provide the potential to constrain the formation conditions of rocks that previously did not have suitable barometers or thermometers.