Anchor General Insurance Agency | 2,117 followers on LinkedIn. Anchor General Insurance Company is a San Diego based company specializing in providing non-standard private passenger automobile liability and physical damage coverage in California, Texas, Washington and Arizona, with anticipated expansion into a number of additional states. With continual focus on the ever-changing and diverse needs of its clients, and continued investment in technology and in our people, Anchor strives to provide superior customer service to its policyholders and brokers. In business for over 25 years, Anchor continues to be a leading dominant force in the non-standard auto insurance marketplace.