I have worked in the insurance industry for several years and I would recommend talking with a local agent if you don't understand what you are looking at. There are several components to auto/motorcycle insurance and each state has their own variations. Motorcycle insurance is slightly different than car insurance. Your basic component is liability which is what most states require. This pays for damage you do to either the other person (bodily injury) or their car, bike, mailbox, fence, house, or whatever else you hit and damage (property damage). Most states have a component that will pay you if you are hit by someone who does not have insurance or does not have enough to cover your damages (uninsured/underinsured motorist). Another component pays for damages you receive if you hit a guardrail, tree, etc. (collision) or if your bike is stolen, damaged by hail, etc. (other than collision also known as comprehensive). Some states require personal injury protection (a form of no fault that pays your medical bills, loss of work, etc.) and other states just have simple medical payments (pays your medical expenses). With a motorcycle, many companies will not offer medical payments. Also with a motorcycle, you may need to be concerned about passenger liability if you have a pillion rider who is not an operator on your policy.
As you can see by the length of this post, it can get pretty complicated. Someone mentioned North Carolina. NC is what is called a "facility" state where there is a state run reinsurance facility. Motorcycle liability is ceded to the facility and I am not aware of any company that offers voluntary liability coverage in NC. However, many do offer voluntary physical damage. I could go on and on, but you really need to talk to someone local. Most call center reps are pretty knowledgeable about the states they sell in.
It can get kind of complicated.
Hope this helps.
Greg