I don't intend to thread crap, but the best non-dslr camera is one of these:
Don't get me wrong, I own an M8, but it is not as good 6x7cm film camera, let alone a 4x5 inch camera...or a 20x24 inch camera...
In the spirit of your question, however, I would agree with majid -- Fuji makes some excellent compact point and shoots for a pretty low cost. Another thing to look at would be something like the Canon A650. The key to remember is that the smaller they try to make it, the worse it will perform. This is unfortunately true 90% of the time. It's not that bigger is always better, but they try to cram too many features into too small of a body. The same thing with megapixels...12mp is WAY too much for the tiny sensors in point and shoot cameras. To give you an idea, the Leica M8 and Nikon D3 have 10 and 12mp sensors that are many multiples larger than the compact camera sensors -- more pixels does not equal better, big sensors with big pixels = better.
For example: 10mp from a Leica M8:
Despite having 10mp (or even 12), no compact camera is going to be able to come close to that...the megapixel race is a myth.
anyway...sorry to take this so far off track.