I called (and searched on-line) Geico for a price comparison a few months back. They offered me a premium of more than double what I was paying. I guess if you have a good driving record, and good report with your Auto Insurance Company, Geico can not compete.
I have heard from someone who has Geico, that they do respond fairly quickly to claims, and their prices are competitive. Then again, this someone has a bad driving record.