I'm not sure if this would qualify as interesting to everyone, but why is 'visible light' visible to us? Well let's find out.
We start at the photosphere, or the surface of the sun, which is the part that we see. It has an effective temperature of around 5800 K (5527 °C or 9980 °F). That's hot enough to easily melt your face off, though interestingly it isn't the hottest part of the visible portion of the sun. In fact, it isn't even kind of close. The hottest part is the Corona (named after the beer) which is the highest portion of the atmosphere. It can actually be millions of degrees (it hardly matters what units your using at this point, that's beyond anything you could ever imagine). So I guess the obvious question that comes from this is “Why don't we see the Corona if it's hotter and closer to us?”
Well, the photosphere is more dense, and produces more radiation, so it's the one we get most of. But what is it producing? While, the layers of the sun can be treated as blackbodies (an ideal radiator basically). The radiation given off by a blackbody varies with temperature. This graph shows the wavelengths given off at 5800K. If you don't know what you're looking for in that plot, fair enough. Try this one instead. It shows where the visible spectrum of light (for humans) is located on the chart. Interestingly enough, the photosphere emits more visible light than anything else. The implication here is that visible light is only visible because we have evolved to see the light that is most produced by the sun. Essentially, we evolved to see this light as the photosphere produces most of the radiation that comes to Earth.
So what is the Corona producing you might ask. Well, if you take the curve above, as temperature increases it shifts left (lower wavelength) and it shifts right as temperature decreases (meaning higher wavelengths). This means that lower wavelength photons are being emitted, meaning it's mostly x-rays and such. Fortunately the Corona isn't very dense so we don't get too much of it. It should also be noted that when there is an eclipse, you can see the Corona around the moon, as it still releases some visible light.
And that's the story of how we see color (well, roughly at least).
