The ice maker is almost always the most problem-prone part on a modern refrigerator. When I was shopping for my current refrigerator in 2005, I indicated the one that I wanted to the salesman at Best Buy. He insisted on trying to figure out how to operate the automatic ice dispenser on that model–which actually lacked that feature. I allowed him to make a fool of himself for a couple of minutes, before I revealed to him that this particular model did not have that feature.
He then began the purchase process, including the obligatory “you better buy the aftermarket extended warranty” spiel. I declined, and have had no problems whatsoever with my LG refrigerator in the last 15 years.