Enzymes play a central role in a spectrum of fundamental physiological processes and their altered expression level has been associated with many diseases and pathological disorders. Enzymes therefore can be exploited as a pristine biological trigger to tune material responses and to achieve controlled release of biomolecules at desired sites. This mini-review highlights enzyme-responsive polymer hydrogels for therapeutic delivery applications developed within the last five years, focusing on protease- and glycosidase-based catalyzed reactions. Strategies employed to produce responsive materials are described. Successful applications for controlled drug delivery are highlighted, and finally, future opportunities and challenges are presented.