According to the largest risk consultation firm in the US[i] and a noted Australian statistician[ii],  this is the rank of these activities, in fatalities per million hours:

 

#1 = Small planes: 15.6 fatalities per million hours;

#2 = On-road motorcycling, 8.8;

#3 = Swimming, 1.07;

#4 = Walking near traffic, 0.8;

#5 = Bicycling, 0.26 to 0.41 fatalities per million hours

 

In other words, cycling is the safest of all of these activities, on a per-hour basis.

 

By the way, just "living" comes out to 1.53 fatalities per million hours.  It seems that cycling is, on average, much safer than many other things you might do with your time! 



1. Data from Failure Analysis Associates, in Design News magazine, October 4, 1993 and from the Federal Office of Road Safety, Australia.

[ii]. Robinson, D.L., Head Injuries and Bicycle Helmet Laws, Accident Analysis and Prevention, vol. 28, No. 4, pp. 463-475, 1996