I've had Progressive, Geico, State Farm, Allstate, Texas Farm Bureau and Farmers.
I've used claims service with Geico, Progressive and Texas Farm Bureau and Allstate.
Allstate is by far the worst claims experience I've ever had. Nickel and dime to death and took forever to process stuff. Aftermarket everything, recondition this/that etc. Had to fight very hard with them.
Progressive claims was fairly seamless. Fast and let me take the car anywhere.
Texas Farm Bureau claims was a little rough starting off but very good at the end. They outsource the claims process.
Geico was pretty good, but as doug says,they did try to cut corners. I ended up negotiating with the body shop. I took the estimate from the body shop and had my dealer parts wholesale guy quote it and I told the body shop that they could buy Ford crash parts program parts (reboxed ford parts to compete with aftermarket) and still make money per the estimate. The service writer said he would have to discuss with his boss, and I told him they had 24 hours and we could proceed or the insurance company could pay him for teardown and I'd have it picked up and taken elsewhere.