I'll repeat what others have said: It varies.

I've lived off Market north of Grand for 13 years. It has gotten better, but it's definitely nowhere close to "good". Random people walk down the street - in the street, rarely on the sidewalk - poking through trash dumpsters or trying to bum cigarettes. Things have been stolen from my porch, everything from chairs to houseplants... but those stopped once I installed a motion-sensing light.