CancerMondial
Provides access to a number of databases with cancer statistics worldwide.
CIA World Factbook
Provides information about the government, economies, people, and other facts of over 260 nations in the world. Relevant information includes statistics about major infectious diseases, HIV prevalence rates, physician density, hospital bed density, and more.
Global Health Data Exchange
Catalog of health data from the Institute of Health Metrics and Evaluation.
UNICEF: Statistics and Monitoring
Including such information as country statistics, customized statistical tables, core indicators, millenium development goals monitoring, multiple indicator cluster surveys, the DevInfo database system, and more from the United Nations Children's Fund. More statistics can be found at http://www.childinfo.org/.
UN Data
A data access system for UN databases with information such as country links, Health Data HIV/AIDS statistics, and more.
World Bank Open Data
The World Bank Institute is a "global connector of knowledge, learning and innovation for poverty reduction". The Open Data website allows for searching by topic or country.
World Health Organization: Global Health Observatory
Data and analysis divided by themes such as mortality, noncommunicable diseases, health systems, and more. There is also access to the organization's full data repository, yearly world health statistic reports, comprehensive reports on global health risks, country statistics, a map gallery, and statistical reports from WHO programs.
Newspapers and broadcast media are always excellent sources of public opinion data. In addition, check: