If you're here looking up Anthem Blue Cross & Blue Shield customer care, you probably already know who they are. But it helps to get an idea of how big they are and what their support operation looks like if you are a customer. Anthem Blue Cross & Blue Shield also goes by or is associated with the names Anthem, Anthem Blue Cross, Blue Cross. They are considered to be part of the following sectors and industries: managed, health, care. Anthem Blue Cross & Blue Shield is associated with terms like blue cross blue shield, public by their customers and industry analysts. Their competition, in the eyes of customers, are companies like Aetna, United Healthcare, Cigna. They employ 37,000 people according to customers in the know.