I also have just completed a few tests with unexpected results
With 230V mains AC, I placed two 275VAC X2 rated caps in parallel to achieve a combined capacitance of 0.32uF.
This should limit the circuit to 23mA (RMS) which I thought would suit most of my higher brightness LEDs.
Typically they are spec'd for about 25 mA to 30 mA continuous, & fwd Voltage typically 3V. Brightness varies from 5,000 to 15,000 mcd, depending on which colour/type is selected.
Now as I calculate the current in Carbonitz's circuit No 2 ("you're going to hate this") in which he removes the resistor altogether & relies only on a 0.3uF cap to control the current at about 21 mA - Very close to my set-up!
I then proceeded to test individually, three different LED's in series with the parallel caps.
All destroyed, not even a flicker of life.
So clearly I have done something fundamentally different to others experimenting here, but what?
BTW for the sake of safety I ran the mains via an RCD with a 230VAC CF lightbulb wired in parallel to my test circuit & illuminated when the circuit was live - just a precaution against any absent mindedness on my part, I can't see this affecting anything however.
I'm not the sharpest in this area of electrical technology so I am baffled as to why I can't reproduce the results of others as a starting point at least.
I suppose Carbonitz is LOL, he probably has 12 weeks up now on his rig?