What is most likely your problem is the crushed ice solenoid. This solenoid, which is located next to the auger motor behind the ice bucket, is failing to actuate when you request cubed ice. Its "home" setting is crushed, and actuates to allow cubes past the crushing mechanism in the bucket. To be certain its the problem, remove the ice bucket, and tape the door light switch in the closed position. actuate the ice dispenser lever, for both cubed and crushed ice. you will see a square hole next to the rotating fork, when you select cubes, it should open. If it does open, there is something wrong with your ice bucket, perhaps the arm is broken, or the door inside bucket is off its snap in type hinge or broken altogether. If it doesnt open, replace the solenoidExpert Refrigerator Repair Service in Chicago and Suburbs
Any more details or a location to get step by step instructions to fix it.