When my old fridge cooling unit stopped working but the light remained on we assumed that since it was an old fridge that it was broken, so we replaced it.
Today my new fridge has had the same problem. The cooling unit stopped but the light inside is working. It started working again when I jiggled it, then it stopped again. It started again after I unplugged it and plugged it back in, but then it stopped again. It's a new fridge, so this is pretty unlikely to be a coincidence. I've had this one for about 10 days and it worked the whole time as far as we know.
What would cause my fridges motors to stop running, but leave the lights on? The only similarities between the fridges is it's location and power socket.
It wasn't that the thermostat was registering it being cold enough so that the cooling unit could stop working - in the original fridge everything defrosted.