Only took 2.3 seconds to get an analysis of comparative violent crime rates.

There are other pages, but this one says:

"Due to fundamental differences in how crime is recorded and categorized, it's impossible to compute exactly what the British violent crime rate would be if it were calculated the way the FBI does it, but if we must compare the two, my best estimate‡ would be something like 776 violent crimes per 100,000 people. While this is still substantially higher than the rate in the United States, it's nowhere near the 2,034 cited by Swann and the Mail."

It is hard to compare when societies have different definitions and reporting systems. The UK seems to whack on each other more, but do less average damage.