Hmm, this is a puzzler, I see on the Internet that other folks have had bulbs blow out frequently on this car.
Prob is, the only way you can overstress a bulb is to apply excess voltage, and that’s real hard to do as the battery is a real firm stabilizer, even with a runaway alternator on full charge, the voltage won’t get much above 14.5 volts.
And that would overstress all the bulbs, not just the license plate ones.
And there is no way a loose connection or a short can give you MORE voltage, its always less.
So were mostly stumped. Some wild possibilities:
(1) You have a big bass speaker back there. That will vibrate the rear deck and stress the bulbs. The taillight bulbs are sturdier.
(1.5) You have a big amplifier back there, hooked up to light bus somehow (unlikely). The amplifier can push back some voltage into the 12 volt bus, if the wires from the fusebox are not sturdy enough.
(2) You’re putting in bulbs that are too powerful or too large in wattage.
(3) You’re buying the cheapest Chinese-made bulbs. They are about as strong as angel-hair.
(4) The bulb covers were designed to be too tight, keeping in lots of excess heat.
If you want to fix this, you could try putting in sturdier, perhaps USA-made or more expensive bulbs.
Or bulbs of lower watts or amps.
Another way would be to dim the bulbs a little bit by adding a resistor inline with the wire going to the lights. Go to radio shack and buy two 1 ohm, 2 to 5 watt resistors. One or both of those in series should dim the bulbs a little bit and increase their life by a lot.