Unfortunately, there isn't an ideal database. Things to think about when selecting a database(s):
While news aggregators search thousands of sources, they do not include all sources.
Nexis Uni offers limited metadata. When you run a search, click on one of the delivery icons, you will see one of your options is to export Metadata to an Excel spreadsheet. You are able to export the headline, publication, summary, and date. One may not add or delete a category. You may deliver up to 1000 results simultaneously.
The other databases do not appear to offer downloading the metadata. Databases see their metadata is proprietary and usually do not want to share it.
Statista: Statista aggregates statistics and studies from market researchers, organizations, specialist publications, and government sources. Search for "popular" websites, newspapers, magazines, and more.
Media Cloud Source Manager: Media Cloud includes a database of sources from around the world.
Insider Intelligence: Insider Intelligence provides market data, statistics and analysis on the Internet, e-business, online marketing, media and emerging technologies. It is useful for understanding the growth and impact of the Internet, and for keeping abreast of new trends, such as social networking and mobile marketing.
Some have luck using a search engine, like searching [year of data] and newspaper circulation.
The following resources may be useful: