The state also suffers from a limited availability of dentists. West Virginia. West Virginia made the list of five most unhealthy states due to its high prevalence of smoking and high number of drug related deaths. Obesity is also a very common health problem in West Virginia.Tennessee. Tennessee is one of the country’s most unhealthy states due to its high levels of obesity, high violent crime rate and low levels of physical activity.In spite the of varying health issues each of these states is facing, there are several common factors that contribute to the overall lack of health in a state.owever, there are certain states that fare more poorly when it comes to the overall health of their populations. This year, the report issued by America’s Health Rankings and the United Health Foundation listed these five states as America’s most unhealthy.