Unfortunately, there's no comprehensive national database that ranks insurance companies based on customer satisfaction. But a few good resources can point you in the right direction. When you get the number, compare your company to its competitors. There's no nationwide list of complaint ratios, but Kiplinger's surveyed 20 states last year and calculated overall complaint ratios for the largest auto insurance companies.
Word of mouth is also important, too.
You can pay premiums for years, but you won't know how well the company performs until you have an accident. Ask friends who had accidents if they were happy with their company. The Kiplinger Washington Editors, Inc.