
Ironically, I also happened to have a bunch of new license lamps, for a pending project which ultimately got pushed to right now. Or, last night and today. I figured that I would share some pics and perhaps entertain discussions, because, while this will work, I'm sure others out there can chime in and maybe next time I can do it 100% better.
So, here goes.
Compare a new lamp, at left (ignore the crusted epoxy - that was a failed experiment) with the old lamp that I pulled out, today:

So, what kinds of things would one need to repeat this?
Some 10,000 mcd 5mm 3.3v LED's:

Some Resistors to make each LED 12V capable:

Epoxy, solder, "helping hands", and soldering iron:
(Small, curved needle-nosed pliers, female "quick terminal" adapters, small cable-ties, speaker wire not pictured)

Brief Synopsis: I soldered resistors onto the (+) lead of the resistor, then soldered maybe 3" of speaker wire (all I had onhand) to the bare (-) lead and on the bare end of the resistor. The goal was to have FOUR LED's wired in parallel, per license lamp.
The set of LED's was tied together into a little bundle (not too much physical space to work with in the lamp compartment). Afterward, I fastened quick terminals to the inside of the lamp, where the festoon bulb would otherwise rest. The appropriate wiring for (+) and (-) was placed into the terminals and clamped down with the pliers.
Later, I epoxy'd the string of LED's down to the lamp, so that future crud would not not be able to block out the light. Also, I suspected it would help spread some light because the LED's natively have narrow angles of view (~15 degrees).
Here's what I ended up with:

The epoxy I used, was a bit cumbersome. I plan to get a different sort of glue to act as a protective coating for the wires and the exposed leads. Since it's Easter Sunday, I didn't have an opportunity to get something.
Anyway, here are a few more images:
Picture of my "12V test rig":

Pics of the lamp with power (low exposure):


And, with "normal" exposure:

To the naked eye, you can make out the shape of the 4 LED's but the epoxy does sort of spread the light, which is good. Also, these 4 LED's produce a nice, pretty-close to white light, in stark contrast to the yellow festoon bulb.
Other notes:
- The heat shrink tubing was a tad too small. So, at times, I didn't get it to go all the way over the resistors and to the bottom of the LED base.
-My failed experiment used 8 LED's but I used too much wiring, so it definitely wouldn't fit. It was also way to bright, IMO.
-My original idea was this:

The 10mm LED's were too blue but not as bright, either.
Oh, don't forget to check on Fuse 62 (7.5 Amp) because mine had also been long dead, presumably because of moisture.

In the 3 years of owning my car, these damn lights are the ONLY ones I've had to replace. I've changed others, only voluntarily.













However, with a coating of superglue and/or epoxy all over it, it should remain quite weather proof. 



