Some 25 years ago, I came across a web site that had analyzed risk of various activities on a per hour of exposure basis rather than on miles traveled. I always believed that hours of exposure was more realistic for assessing risk for activities like flying, hang gliding and cycling.
As I remember, on the per hour basis, cycling was as safe as cars and commercial air was slightly riskier. Road motorcycling was much riskier than cycling and about on a par with general aviation which was something like ten times riskier than autos. Interestingly it appears that many deaths for both general aviation and cycling are alcohol related as with autos.
I've never been able to find updated hourly risk data. This guy has apparently found new data which includes more recent hourly exposure data.