The mission of the NCATS Division of Rare Diseases Research Innovation (DRDRI), formerly known as the Office of Rare Diseases Research, is to advance rare diseases research to benefit patients. DRDRI is part of the National Center for Advancing Translational Sciences, one of the 27 components of the US National Institutes of Health. DRDRI facilitates and coordinates NIH-wide activities involving rare diseases research, as well as directly supporting rare diseases research activities. These activities include the development and maintenance of a centralized database on rare diseases; collaboration and coordination with organizations focused on orphan products development and rare diseases research across the globe, advising the Office of the NIH Director on matters related to NIH-sponsored research involving rare diseases; and responding to information and policy requests about rare diseases within the NIH. DRDRI also supports various rare diseases research activities, including the Rare Diseases Clinical Research Network, rare disease-related conference grants, and assessment of the costs of untreated rare diseases. In addition, several of the projects DRDRI is supporting are “many diseases at a time” translational approaches for rare diseases, which emphasize leveraging commonalities across multiple rare diseases. These include the support of “basket trials” based on shared molecular etiologies across multiple rare diseases, as well as therapeutic platforms for the treatment of monogenic diseases, such as gene therapy and genome editing. This Perspective will provide an overview and summary of these various activities, noting where relevant our collaborative partnerships within the U.S. and internationally.