In contrast to adenosine triphosphate (ATP)-dependent motor enzymes, other enzymes are little-known as "motors" or "pumps", that is, for their ability to induce motion. The enhanced diffusive movement of enzyme molecules, the self-propulsion of enzyme-based nanomotors, and liquid pumping with enzymatic micropumps were indeed only recently reported. Enzymatically induced motion can be achieved in mild conditions and without the use of external fields. It is thus better suited for use in living systems (from single-cell to whole-body) than most other ways to achieve motion at small scales. Enzymatically induced motion is thus not only new but also important. Therefore, the present work reviews the most significant discoveries in enzymatically induced motion. As we will learn, freely diffusing enzymes enhance their diffusive movement by nonreciprocal conformational changes which parallel their catalytic cycles. Meanwhile, enzyme-modified nano- and micro-objects turn chemical energy into kinetic energy through mechanisms such as bubble recoil propulsion, self-electrophoresis, and self-diffusiophoresis. Enzymatically induced motion of small objects ranges from enhanced diffusive movement to directed motion at speeds as high as 1 cm s(-1). In spite of the progress made in understanding how the energy of enzyme reactions is turned into motion, most enzymatically powered devices remain inefficient and need improvements before we will witness their application in real world environments.