London, with a population of ~8 million has the same murder rate as new Orleans, which is 300k people. Not as in x murders per 100k, but as in total murders in a city.
In terms of knife crime the USA has a slightly _higher_ rate of knife crime than the UK. Bear in mind the UK counts attacks with knifes as knife crimes, where as the states only appear to include death by knives.
Which means that even if you took away gun deaths (~70% of all us homicides) you're still more likley to be stabbed in the USA compared to the USA.