Anyhow, I just finished cobbling together the following:
It works. I witnessed it with my own two eyes. LED lights up, brightly but not too brightly. Resistor doesn't even get warm.
Notice the lack of a bridge rectifier, bleeder resistor, protection diode, etc., etc.
So tell me again why this won't work? 'Cause I'm telling you, it does ... the LED doesn't seem anywhere near being stressed.
Now, I'm not suggesting anyone copy this design for a production model. If I were going to actually use this, I think I'd throw a 1N4001 or so in series with the LED to give it a little more protection.
Oh, yeah, the capacitor had a pretty good charge on it (~60V) when I pulled the plug, but what the hey--so long as nobody's fingers come into contact with it, so what?
Minimal parts count "R" us ...