There are many repositories out there that can house your data in compliance with funding agency requirements. They generally take one of two forms: subject-specific repositories that contain data relating to one field or topic, and general repositories that will take data from any discipline. Listed below are some of the most well-known repositories, but this is far from an exhaustive list. Most are free, but some do charge a fee.
eGrove is the University of Mississippi's institutional repository. A multitude of research outputs, including data, can be deposited and shared with the public here. There is no cost or storage limits. For information on eGrove and to discuss data deposits contact Michelle Emanuel.