Hi, i'm an underwriter and there are plenty of companies that offer �0 accidental damage xs's. I underwrite for UKI who do insurance for Tesco, Churchill, Direct Line, Privilege, NIG, BMW, Egg.....just say you don't want an damage xs.
If you are under the age of 25 you will find, certainly with the above companies, a compulsory xs's for damage. You'll also find that there is always a fire & theft xs's which is compulsory as well.
Certain types of vehicles also carry compulsory xs's.
I refused insurance to a 63yr old man the other week as he'd had about 7 claims in 3 years. For petty claims like when he numped his wing mirror (�80) or scratched his door on a fence (�70) & he didn't want an xs's. We refused because he would claim for any little thing, not worth the risk in our eyes.