Timber cutters come in first place, here is the longer list. Being a timber cutter is 26 times more dangerous than the average American job (the link has wage data as well). Here is one morbid description of a timber accident; here is another detailed account.
By the way, delivering pizzas is one of the most dangerous occupations as well. Being an Alaskan pilot is especially hazardous although it does not count as a separate occupation. In a thirty year career you have a one in eight chance of dying; flying into a mountain during bad weather is the most common boo-boo. If you look at absolute numbers only, more truck drivers die on the job (808, in 2002) than any other occupation.
Thanks to Eugene Volokh for the original pointer.