I believe in only insuring things you can't afford to replace. Like your house.
Everything else, you are just paying for admin, overheads and profit for an insurance co.
Generally I can afford to replace my cars. For most of my life my car has been worth less than some frivolous thing, such as my windsurfing gear.
Anyway, when we got the missus a fancy PHEV family wagon with low km's, she decided she didn't want to drive it around 'self-insured' and I determined that writing it off would put a significant dent in the household finances.
Given that minor panel damage and the like I can still afford to fix myself, I determined that AA Insurance allow very high excesses on cars. And you can get quotes online so you don't have to do the pain of a call centre, or worse, a broker that just mucks you around and takes weeks to get back to you (was using a broker...)
Anyway, have a $2,500 excess on both cars. Reduced the premium by over a third. The 2014 PHEV outlander premium is about $650, and for shits and giggles I got my hybrid runabout covered as well, get 10% off both policies, and that premium is about $350. That is only a fraction more than third party. Most insurers only offer $1,000 excess. Going to $2,500 saves a significant amount on the premium.
I think going for super high excesses is a pragmatic way of reducing premiums while retaining cover.
I see people go for $100 excess, or excess free glass cover, claim every little scratch or minor ding, then complain how much their insurance is. I've been backed into by an uninsured driver who gave me false details, damaged a door - but I got it fixed for less less than a no-claims bonus and for way less than my excess. It is amazing how panel beater prices are different when you offer cash and no ball-ache with insurance co admins.
Replace a $30k car I can't do, but fix some panel damage I can do, hence very high excess and nicely low premiums.