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While State Farm's shopping experience is well-reviewed, customers did not feel as strongly about it's claims handling process. The company scored about the same as the other four large companies, but was still mediocre. A large national company may be expected to not be very efficient because of the various departments involved in handling individual claims. If you want the assurances guaranteed to you by a large, "legacy" carrier, then State Farm is the best to go with.
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.
American Modern is backed by GEICO and provides classic and collector car insurance for a wide array of vehicles. American Modern provides flexible mileage plans, including an unlimited one which is perfect for collectors who like to drive their vehicle occasionally. With American Modern, you also get the largest standard spare parts coverage, as well as 'inflation guard' which ensures your policy scales as your car increases in value.