Failing to find anyone who rented motorcycles in Doha, I rented a car a couple of years ago because I wanted to see what the rest of Qatar looked like. I was sternly warned by the rental company that if there was an accident of any kind it required a police report for the insurance to be any good, and that if no one was injured in the accident the police would not come. Even a minor scrape would force me to spend the day at some office to get a report and that I would not be allowed to get on a plane without it on record.
Luckily, they also warned me of the speed cameras on the freeway into the desert. The road was in perfect condition, there was no traffic, the speed limit was only 100kph/62mph, and a speeding ticket was ~$1000 (xN for each camera along the way).
Back to motorcycle insurance. This has become a serious problem for those of us lucky enough to travel overseas and have friends willing to loan us motorcycles. Unlike, say, ethanol in fuel or requirements to wear helmets or protective clothing, insurance is a "hidden problem" that doesn't get attention because it is invisible to all but the few that it affects. I have to say that not many people would have much sympathy for someone who has the means to fly to Europe where he has a friend who will loan him a Vincent, but he has a problem finding insurance. Insuring a borrowed Vincent overseas is definitely a First World problem.