Turing's thesis and the development of the modern computer. John von Neumann's contribution to the war effort (and that of Turing and Hilton, for example). Fractals and modern computer imaging. Wavelets and data compression. Topological data analysis. x-ray diffraction. Number theory and cryptography. Linear programming, control theory, telecommunications, and quadro-copters. Differential geometry and automotive design. Maybe it is currently out of favor, but the NSA is the largest employer of mathematicians in the world. To expand upon that thought, the general data analysis that occurs in government and industry that helps determine buying habits, consumer behavior, and other large scale human behaviors.