Sven,
Your question is really appropriate. Insurance companies are in business to MAKE MONEY, all the money they can possibly make, AND THEY DON'T CARE WHO THEY SCREW IN THE PROCESS.
The answer given about "full service" companies makes a good point. If your state has a legislature sold out to the insurance industry to the degree you must legally carry insurance and you wish to "self insure" as I do, then go for the lowest cost "LIABILITY ONLY" coverage you can find.
I just went thru this exercise this week. PROGRESSIVE got the nod...
I'm a retired Military Officer so I insure everything else with USAA for they are the best in the industry for claims service. USAA is a "mutual company" owned by the members, all of whom must establish elegibility as Military Officers, Cadets in Officer Training, US Public Health Service officers, or Senior NCO's in the Military. I've had personal communication with the director of Underwriting at USAA. He is completely and totally BIASED AGAINST MOTORCYCLES, so he rates bikes very high to discourage members from "riding murder cycles" as he puts it, but what he really does is drive business to other companies.
That's why I shop my inurance required by law every year. PROGRESSIVE is hard to beat, but occasionally they are under bid.
As for claims management, I have no personal experience with filing claims for motorcycle insurance. I know friends who have had this sad experience, however. In general, what is said about the budget sellers is true. They will take you thru the wringer to collect a claim.
This is also true of Allstate, State Farm and some of the other major sellers. In dealing with them, a lot depends on your local agent, if you use one. I don't in general, however use a local agent.
If you are most interested in claims handling, then might I suggest you establish a working relationship with a trustworthy local agent who will go to bat for you when you must file, if you must file, for a claim. A local agent has clout with the insurance company because he/she has power to turn business to or from them.
I don't buy a bike or a car unless I can pay for it in full, so I self insure for all but what it takes to appease Big Brother and his "Sin Tax Collectors" with their flashing lights and big pistols.
If you have Military connexions and are really inerested in claims service par excellence, then USAA is the way to go for superb claims service, without a doubt, even with their NEGATIVE BIAS against motorcycles.
JReviere, Ph.D