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.
Whether this coverage is right for you depends on the value of your car and where you live. If you have a new car and live in an area with lots of storms and a large deer population, you should likely get comprehensive and collision coverage. If you have an old car, however, the current cash value your policy pays might not be worth the cost of the premiums and deductible for the coverage. It's generally not cost-effective when the current cash value of your car is less than $3,000. Weigh the annual out-of-pocket cost to you (both premiums and deductible) against the current cash value to see if it makes sense.
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.