Geico. Ha. Progressive. Ha. State Farm. Ha. Farmers. Ha. All in my humble opinion.
Companies have all sorts of hidden internal 'rules' on how they do things. That's one reason why some are more satisfying that others, even though they may all "pay" your claim.
I recall reading that State Farm (?not sure?) will pay a $500 claim with no hit on your claim record, but Progressive moves into high gear to raise your rates. How would you know what they're going to do? Yet, that is part of the service you're buying.
State Farm and Farmers used to be two of the best companys, but they haven't been so consumer friendly in recent years.
Why would you send your money to Geico, so they can buy laser guns for cops to write you tickets, and increase your premiums? That's counterproductive.
Check out Amica Mutual. They were the first auto insurer in the country. Not Geico which cleverly seems to suggest in ads that they were, without quite saying so. I've been with Amica 15 years. Even they are now a little stickier to deal with, but it's a continuing trend in the industry. Disclaimer -- I'm not affiliated with any of these other than as a customer. Amica is not the cheapest however. My point is that there are other concerns as well.