Current injuries data is collected by two federal agencies, the Centers For Disease Control, and the Bureau for Labor Statistics. The CDCs data describes overall injury rates (fatal and nonfatal) going back to 2002. BLS’s data describes work-related injury and illness rates (fatal and nonfatal) going back to 1992 (only 2003 for nonfatal incidents).
The Pardee Center for International Futures produces the most long-ranging forecasts for injury- and illness-related fatalities that I’ve found so far. (As far as I can tell, their forecasts do not included non-fatal incidents.) I’ve taken samples of their data from the top of the decade through 2050, but annual data are available from 2010 through 2100.
Data from all three sources (CDC, BLS, and Pardee) are aggregated in this Google Spreadsheet:
This graphic from a 2011 Pardee paper shows the general trend in fatalities due to injuries versus disease:
Src: Barry B. Hughes, Randall Kuhn, Cecilia M. Peterson, et al. 2011. “Projections of global health outcomes from 2005 to 2060 using the International Futures integrated forecasting model.” Bulletin of the World Health Organization.