Based in Bloomfield, Connecticut, Cigna health insurance obtained 4.5 stars for its “value for price” and claims service in our survey of the best health insurance companies. For customer service and its overall score, Cigna received four stars. Thirty-five percent of the customers surveyed said they chose Cigna because it is the health plan offered by their employer. A remarkable 90 percent said they plan to renew with Cigna. Cigna, a global health service company, is dedicated to helping people improve their health, well-being and security.