Reading this thread made me wonder about the relativity of risks to our children, and whether I might be worrying about the wrong things, so I did a little reading up which might be interesting so some others on the thread.
According to my brief review of the data offered by the office for national statistics, around 6,500 children under the age of 14 died in 2010.
It would seem that the things worth worrying about (i.e where parents can influence risk levels) are:
asphyxiation
head injuries
infectious disease
SIDS
which combined accounted for around 1,500 deaths in 2010.
The vast majority of other deaths were small individual numbers for named medical conditions i.e things broadly outside of parental control.
Relative to this thread, fire/smoke accounted for 7 deaths, and assault accounted for 29 deaths (of which most I assume were assaults in the home, although I have no evidence to back this up).
For comparison, land transport accidents accounted for 25 deaths.
the data is here if anyone else is interested.