The two crossword solutions for the term 'Big Name in Health Insurance' are AETNA (5 letters) and BlueCross (9 letters). AETNA is one of the largest health insurance providers in the United States, offering a variety of plans to individuals, families, and businesses. BlueCross is a national network of independent health insurance companies that provide coverage to millions of Americans. Both AETNA and BlueCross are well-known and respected names in the health insurance industry.