The causes of injury are quite skewed. From the CDC, here is chart showing leading causes of "fatal unintentional injury": http://www.cdc.gov/injury/wisqars/pdf/leading_causes_of_injury_deaths_highlighting_unintentional_injury_2012-a.pdf. Note that this isn't DALY-lost.
As expected, car accidents and falls in the elderly account for a largest chunk of deaths. Next you have a cluster of poisoning and suicide (which I guess is classified as unintentional?). Some quick googling suggests that traffic accidents and falls are both roughly top 20 in leading causes of (global) DALY lost, although I'm out of time to check for better sources. I'd bet that poisoning is a bigger problem than currently measured in poorer countries.
Can these causes be targeted? An interaction of public policy and technology has reduced (and continues to reduce) deaths per million vehicle miles traveled. On the latter, I've noticed that "risk of falling" is often tracked in studies of the elderly, although I don't know anything more about this.
Since you asked...No, suicide is not classified as unintentional. Nor is homicide! That is not a chart of unintentional injury, but of all injury, with unintentional causes highlighted by being colored, while suicide and homicide are in white.
This Chart Shows The Worst Diseases That Don't Get Enough Research Money
We have already covered this topic several times on LW, but what prompted me to link this was this remark:
[Edit: a former, dumber version of me had asked, "I wonder what criterion the author would prefer," before the correct syntax of the sentence was pointed out to me.]
Opinions?