I have had two non fault accidents, both were me being hit by a lorry.
First I was in an A3 waiting at a roundabout and a lorry driver not paying attention went into me leaving an £8000 repair bill, second in a Passat estate, was a drink driver changed lanes onto me, forced me into the central reservation and wrote off the car.
Neither affected either my no claims or my policy in any way in the long term, although the first one required a renewal before the claim had been finalised so I had to pay an updated premium, although once it had been finalised I was refunded. They were both with Adrian Flux.