As a researcher, depositing your data in a discipline repository can increase exposure and collaboration opportunities for your data and research. A number of organizations provide external repositories for archiving datasets. Below are links to a few lists, organized by subject area, to help you find a repository for your research data. 

DataBib
Searchable and subject categorized list of data repositories and data sources. Includes detailed information about each repository such as subject categories, data deposit and access status, and contact information

PLOS Recommended Repositories
PLOS has identified a set of established repositories, which are trusted and recognized within their respective communities

Scientific Data Recommended Data Repositories
List of repositories recommended by Scientific Data. Repositories on this list have been evaluated by Scientific Data, to ensure that they meet their requirements for data access, preservation, and stability

Simmons University Open Access Directory
List of repositories for open data compiled by Simmons University

University of Minnesota Archive and Repository List
List of repositories for data categorized by subject