Most modern digital cameras give very reasonable results in point-and-shoot mode, but are not telepathic, and will be fooled by difficult lighting conditions. However, if all you take are averagely exposed scenes, then point-and-shoot is probably adequate. It is also sometimes the only mode you can use when getting a grab shot, where capturing a fleeting moment is of greater importance than quality.
Where there is more time, some tweaking of the camera settings (usually exposure +/-, focus point and white balance) can yield a better result, but this is a matter of personal choice. Good results can often be achieved without such tweaking, but I agree with Rod that getting the best result should be the target. The original idea of the thread was that the basic image could be improved over what the in-camera processing gave you. I am with Rod on this, but it is a matter of personal choice.
PS Even the most basic of 'point-and-shoot' digital cameras give the option of adjusting the camera settings, although the settings menu on a basic camera is often not so accessible as on a semi-professional camera. This might explain the reluctance of some photographers to progress beyond 'point-and-shoot'.
Edited by: Edward Lever at:22nd July 2016 22:59