The least expensive option for car insurance is liability only. Most states require that you have at least liability insurance which covers the other person and their car when you are at fault in an accident. Liability only does not provide any coverage for your car and therefore is the least expensive option.
The Kia Sorento, Honda Fit, Chevrolet Equinox and Hyundai Tuscon are four vehicles that will be easy on your premium.
Of course, contacting an experienced broker or utilizing a respected website will give you much more detailed (and free) information.