I'm pretty sure the light in my forty year old European fridge has never been replaced and is a perfectly ordinary 230 V incandescent bulb. Even if it were replaced with a LED why would it need any extra electronics?
But with LED lighting, you need a converter from mains voltage to low DC voltage. A little bitty transformer and a pair of diodes, or even a low-duty-cycle oscillator driving a switching transistor, diode, and capacitor would suffice, but there is a lot more junk on the circuit board in US refrigerators.
I'm pretty sure the light in my forty year old European fridge has never been replaced and is a perfectly ordinary 230 V incandescent bulb. Even if it were replaced with a LED why would it need any extra electronics?