Depositing your data in trusted data centers or repositories is a way to fulfill funder requirements, share your research, enable online discovery and increase your data citation rate.
Open Access Directory: Data Repositories is a list of repositories and databases for open data. It covers about 100 open data repositories in the disciplines of archaeology, astronomy, biology, chemistry, computer science, energy, environmental sciences, geology, geosciences and geospatial data, linguistics, marine sciences, medicine, physics, social sciences as well as multidisciplinary open data repositories. This list is part of the Open Access Directory. It is hosted by the Graduate School of Library and Information Science at Simmons College.
re3data is a global registry of research data repositories. It covers research data repositories from different academic disciplines. Some common open data repositories include FigShare and Dataverse.
OpenDOAR is an authoritative worldwide directory of academic open access repositories.
The Digital Curation Centre (DCC)'s "Disciplinary Metadata" page provides links to information about the disciplinary metadata standards, including profiles, tools to implement the standards, and use cases of data repositories currently implementing them.