Murder through the world from the UNODC - Homicide rate per 100,000 population.
United States of America
I did some of my own research and the US homicide rate was about 1.7/100,000 using weapons other than guns in 2011 so even if we un-invented guns, our homicide rate would be higher than that of the UK.
However, if you look at the overall homicide rates of Idaho, Vermont, New Hampshire, North Dakota or Utah, you see rates comparable or even lower than that of the UK.
Outside the crime hot spots of Detroit, Baltimore, Washington DC, Chicago, et al, the US is actually a low crime country.
How deaths are reported can skew the statistics. For example the automobile accident deaths in 2009 numbered 35,900 if you count the people who died within one year of their injuries.
Counting only the people who died within 30 days of their injuries reduces that number to 33,800.