LED lighting with incandescent spectrum?
Better is coming.
 Better costs money.

Present white LEDs usually use a single phosphor so you get two broad spectrum peaks - one from the direct light from the blue LED itself and the other from the yellowish phosphor.

In their recent PAR60 alternative LED bulbs (60 Watt mains replacements) people like Philips are placing the phosphor on a "globe" outside the LED and are using multiple phosphors to get several overlapping emission peaks and a better overall spectrum.

The standard measure of the "goodness" of the white from a light source is "CRI" = colour rendering index. This is essentially a measure of how well a range of test colours appear when illuminated with the test light compared to illumination with "white"  light.

A CRI of 100 is "perfect".
 CRI of >= 90 is very good.
 CRI of 80 - 90 is bearable for many purposes.
 CRI of 70 - 80 is definitely getting poor in most cases*.
 CRI &lt; 70 - they usually won't tell you.


I say "in most cases" as I have some LEds with a CRI in the 70-80 range but most people (and me) find the light very nice indeed 


Spectral peaks in multiphosphor LED. Usually you get blue plus one other.



Multiphosphor LED chromaticity diagram. 



Excellent multiphosphor overview paper

PDF version

Related technical paper

And again