Most common: heat isn’t leaving the cabinet. The condenser coil and its fan sit at the bottom of most modern refrigerators, drawing room air across the coil to reject heat. When the coil is matted with dust, pet hair or garage lint, or the condenser fan motor has stopped, pressure and temperature on the high side climb, the compressor runs hot, and cooling fades gradually over days. Both compartments warm up together. The compressor area feels unusually hot, and the fan is either silent or clogged. This is often the least involved repair on the list: a thorough cleaning and, if needed, a new fan motor.
Next: the defrost system has failed. Normally the frost is melted off the evaporator on a schedule, anywhere from a few times a day to every couple of days on adaptive controls. If the defrost heater burns out, the defrost thermostat or sensor stays open, or the control never starts the cycle, frost keeps growing until air can no longer pass through the coil. The freezer usually stays reasonably cold because it sits right against the coil, while the fresh-food section warms first. A thick, even layer of snow-like frost on the freezer’s rear panel, or ice visible through the vents, is the giveaway. The repair means removing the panel, melting the ice out completely and replacing the failed defrost part.
Third: the evaporator fan or the air path to the fresh-food side. If the fan motor seizes, the freezer may still be cool near the coil, but almost no cold air reaches the fresh-food compartment. On many top- and bottom-freezer models a damper or air diverter meters that air, and a damper stuck closed or frozen shut produces the same symptom with a working fan. Listen at the freezer vents with the door switch held in: silence where a fan should be running is a strong clue. Fans are routine parts; motorized dampers take a little more work because they sit inside the duct between compartments.
Fourth: controls and sensors. A thermistor that reads colder than the actual temperature tells the board that all is well, so the compressor rests while the food warms. A relay on the main board can stop switching the compressor or fans. On inverter-driven models, the inverter board may stop driving the compressor even though the lights and display work normally. These are confirmed with resistance and voltage readings, because swapping boards on a guess is expensive and often wrong. Also on this list is demo or showroom mode, which keeps the lights and display working while the cooling is switched off entirely.
Least common, but the one that decides repair versus replacement: a sealed-system fault. A compressor that no longer starts or no longer pumps well, a refrigerant leak, or a restriction in the capillary tube leaves the evaporator only partly frosted or not cold at all. A failed start relay looks similar, clicking every few minutes, and is far simpler to fix, so it is ruled out first. True sealed-system repairs involve recovering refrigerant, brazing, replacing the filter-drier, pulling a vacuum and weighing in a new charge, which takes hours and usually a second visit.