File a police report (duh)
Notify the auto insurance carrier
Ask the insurance company about how long it will take to resolve your stolen car claim
Consider the possibility that the police will recover the car in a few days.
Of course, you don’t need insurance for the stolen car unless you get it back. If the theft is properly reported and the thief is in an accident, you are in no way responsible.
Notify the bank financing or leasing your car.
The company financing the stolen car will probably expect to receive car payments until they are compensated by your insurance company.
But, if the delay in settling the claim results in overpayment of car payments or insurance premiums, you can expect refunds of the overpayment plus interest. Discuss the specifics of your situation with the bank and the insurance company.
I recommend
Comparison Market, they offer online binding, a dependable interface and many top rated carriers. You can get a good prices regardless of if your car has been stolen or not.