Key data sources

Australia

Government Health sites
COVID-19 infographic collection
Additional data on age and gender

Other sites: COVID-19 data 

International

Cases, deaths, severity, situation updates

John Hopkins University
European CDC
Institute for Health Metrics & Evaluations (IHME)
World Health Organization
Worldometers
Wayback Machine (Online data archive for Worldometers)
Our World in Data
Africa

Many countries have their own centres for disease control or independent research sites which offer additional information about the epidemic in their country, including age and gender breakdowns,  hospitalisations and ICU usage. Good examples include Germany, Italy, Hong Kong, Korea and the US

Other useful data:

Testing Rates
Estimated Transmission Rates
Estimated Reporting rates
Population mobility: City Mapper
Population Mobility: Google