The Legatum Prosperity Index tracks each country's level of propserity across twelve composite categories, one of which is overall health (shown here). Higher numbers indicate worse average health.
The Bloomberg Global Health Index evaluates each country across a range of indicators, ranging from pollution levels and availability of clean water to access to quality health care. Higher scores are preferable.
The Global Health Security (GHS) Index measures a country's ability to respond to a widespread health threat (such as the COVID-19 pandemic). Higher scores are preferable.