I'm not sure I agree about the crime or at least it doesn't match my experience
I think part of the issue might be what crime brings up in your mind.
AFAICT in pretty much any "western" city (Paris, London, Brussels, Hamburg, NYC, LA, SF) the odds of having something stolen are extremely high. In SF if you leave something visible in your car overnight my experience is the odds are greater than 1 in 2 that the next morning you'll find your car window has been bashed in and the item/items stolen. In Paris if you look away from your purse stuff will be stolen. In Brussels if you sit at a bench and put your bag under the bench someone will reach under from the other side and steal your bag.
So far in Tokyo, Osaka, Kyoto, Singapore that doesn't seem to be the case.
So while the odds of me getting hurt in one city vs another might be low the odds of me experiencing theft seem much higher in some of those top cities than others.
I'd be curious to know how Australia's and Canada's cities do along that dimension. Can you leave your laptop at a Starbucks unattended for an 10-60 mins and not have it stolen?