I have been with Geico for 10 years, what kept me with them is that my daughter had just graduated high school and started college she asked to borrow the car because she was late for school, I said yes she got into a fender bender. Geico paid the claim and they even asked its my choice to add my daughter to my policy or not. Insurance only went up by $30 dollars a month.
The next step is to look for a list of reputable and dependable insurers licensed in your state. States often produce annual reports that rank companies by their complaints. The National Association of Insurance Commissioners publishes complaint data at the Customer Information Source. Another source we recommend are industry surveys and consumer organizations. J.D. Power, for example, measures satisfaction on pricing, policy offerings, and claims handling. AM Best's Financial Strength Rating measures a company's financial ability to pay out insurance claims. Pick a handful of companies from these sources, about three to five, that are generally well rated.
I was with Liberty Mutual for about 15 years and was very satisfied with their prices and service, although I never filed a claim. When I retired and moved from California to Florida, my auto rate went up a ridiculous amount, to almost $10,000 a year even though I had no accidents and one minor moving violation in the last ten years. On top of that, Liberty Mutual screwed up my umbrella policy and told me it was “unenforceable,” whatever that means, but I had to pay for the policy anyway up to the time I canceled and switched to Progressive, which cost about one third the cost of Liberty Mutual for an identical policy. Even good companies change over time.