Health Insurance Giant AETNA and Cigna are two of the largest health insurance companies in the United States. AETNA, founded in 1853, is one of the oldest health insurance companies in the country and provides a variety of health care services to millions of people. Cigna, founded in 1982, is a global health service company that offers a wide range of health care products and services. Both companies provide coverage for individuals, families, and businesses. They also offer a variety of supplemental plans, such as vision and dental coverage, to help meet the needs of their customers.