Also dependent on focal length, with wider focal lengths being more forgiving with blur not being as noticeable. Realistically though for people, unless movement is part of the image you're trying to capture, 1/30 is about as low as I will go when shooting people, although have gone to 1/15 at times, with need dictating.
Re: general usage, I find with a 50mm lens, I can easily handhold at 1/60. 1/30 is fine too, but I'm a little more conscious of my handholding technique. 1/15 also fine, but definitely like to give myself every advantage at this point, and 1/8 can be hit and miss, unless I'm very focussed, and even then, will usually take a second shot just to give myself a better chance of an acceptably sharp image.
In any case, being able to get a handheld image at 1/8th of a second is a very nice boon, and definitely not something I could have gotten from my dslr's, where I normally bottom out at 1/30th of a second. With stabilised lenses that changes though, and for static subjects I can easily get sharp results at 1/15, and mostly 1/8 also, with my Nikon 16-85VR which in terms of field of view is a 24- 135mm equivalent.