What is a good car insurance company?

Since I started driving 9 years ago I have had Liberty Mutual car insurance. I'm not happy with them right now. I was in an accident 6 months ago and they refused to fight it for me. In 9 years I have never had an accident before. I called AAA auto insurance and they gave me a quote. I also called Allstate and they also gave me a quote. These quotes are including the accident that I was in. Which company would you go with? I'm rulling out Mercury.