You own a car but you are not driving it and you have declared it off the road should it still be insured?

Yes, if it has value either as a vehicle 10 years of age or less or as a collectible vehicle. You should carry only COMPREHENSIVE (some direct-writing companies may call this "other than collision") insurance which will cover fire, wind, glass breakage and theft. HOwever, should you drive the car during the time you have declared it "in storage" and have an accident there will be no coverage for liability or collision.