Well since I am in the body shop business and deal with adjusters all the time. I see which insurance companies will pay to fix the cars right, and which wont.
I would not recommend
Gieco
Progressive
The best out there BY FAR is
State Farm
Some others that are really good when it comes to fixing your car is
Germania
Farmers
AllState
Remember you get what you pay for. If you pay for cheap insurance they will fix your car cheaply. I do know that Gieco now has a thing where any aftermarket part you put on your vehicle, you have to note it to them, from body to engine, or they wont cover it. My friend just had a wreck and it was his first claim in over 8 years with Gieco. He had 23" rims on his truck and one got messed up. The rim is about $900 new. The only thing they would pay him for was a remanufactured stock 17 inch rim for $123.