That's an interesting visualization. I have to assume that our increased longevity and relatively fewer deaths due to infectious diseases is the reason more people end up dying from cancer and heart disease?
Of particular interest is that suicide is on the new list, and wasn't on the old one. That says something about society, but I'm not exactly sure what.
I imagine most suicides were categorized as accidents, back in 1900.
So it is tough to draw any conclusions about suicide. This document suggests the rate has fallen slightly since 1950:
http://www.cdc.gov/nchs/hus/contents2011.htm#039
(I wondered what the trend was and looked it up, I'm not involved in public health or anything)