Despite being ubiquitous from nano to macroscale, far-from-equilibrium physics remains largely an uncharted territory in which the standard toolbox of equilibrium statistical mechanics is a priori unavailable. Besides its fundamental relevance, nonequilibrium physics can also be viewed as a resource to achieve a new type of control over matter. In this talk, I will review recent developments in our understanding of driven-dissipative physics and illustrate how ``bath engineering'' offers a promising route to realize exotic many-body states in a nonequilibrium fashion, such as large-scale long-lived quantum entanglement or high-temperature superconductivity.