Mishap rate might have been the a little imprecise. For the number of passengers in airliners, vs cars, the statistics are clear.
http://www.forbes.com/sites/matthewstibbe/2013/07/08/dont-le...
120,000+ people killed in 4 years on the roads, and how many seriously injured? The Asiana crash was the first major accident in the US in 4 years. The 787 incidents have been non-fatal, and nobody seriously hurt.
I'm not sure the exact statistics, but how often does somebody crash their car on the way to the airport, including fender-bender accidents? A lot more than airliners sustain substantial damage.
Even though fire in an aircraft is a critical emergency, these 787 mishaps were only "incidents" and didn't cause substantial damage to the aircraft involved.