Photo Editor
The best photo-editing software in the market is Adobe Photoshop. It can do everything a photo editor can ever be conceived to do ... well almost everything.
Every other tool is a subset of Adobe Photoshop.
Photoshop, however, costs $600. For that price a novice can buy a computer or a nice new lens.
There are several cheaper alternative. Each has its good points. One contender for someone who wants to work with 16bit colors is Picture Window Pro offered by Digital Light and Color.
The real strengths of the program are its ability to handle masks. There are masks that can be made geometrically, based on color and luminosity. The masking feature is nicely coupled with the ability to perform all actions related to color/saturation/brightness.
PWPro has the feature to incorporate filter effects based on the actual filters that photographers are familiar with, like 81A/B/C for warming effects.
It has a basic noise reduction feature that can be useful for mild NR actions prior to performing sharpening. Effects of sharpening can be previewed at 1:1 magnification allowing for fine control over the amount of sharpening or the unsharp mask radius to be used.
PWPro allows for a fully color managed workflow by letting the user assign working color-space, warnings in case the color spaces don't match and it can set custom monitor color profile. However its "print preview" with custom printer profile is not the greatest.
It would be perfect if PWPro could allow layers and store their full history. Even in it absence, it is an excellent tool and can help a competent user work and learn for a long time before feeling that Adobe Photoshop is really necessary.