Company Information Company History: Blue Cross Blue Shield of Wisconsin and its subsidiary Compcare Health Services Insurance both operate under the trade name of Anthem Blue Cross and Blue Shield and are ultimately part of the publicly traded WellPoint Inc. group of companies. The Blue Cross and Blue Shield companies provide health insurance and related services to more than 900,000 members in Wisconsin. The company provides individual plans as well as plans for small and large groups and Medicare recipients. It also offers dental benefit ...