Third-party claims occur with less frequency in no-fault car insurance states, where you first look to your own insurance company to recover, regardless of who is actually at fault for an accident or injury. Generally, no-fault states have mandatory minimum insurance requirements, meaning that every driver carries a statutorily dictated minimum amount of insurance. If, after you’ve made the appropriate claims to your own insurance company, your claim meets your state's monetary threshold or "serious injury" threshold for stepping outside of no-fault, you may be able to initiate a third-party claim.
Comprehensive insurance is a coverage that helps pay to replace or repair your vehicle if it's stolen or damaged in an incident that's not a collision. Comprehensive typically covers damage from fire, vandalism or falling objects (like a tree or hail). If you're financing or leasing your car, your lender likely requires comprehensive coverage. If you own your vehicle outright, it's an optional coverage on your car insurance policy.