To make an easy, flavorful homemade jellied cranberry sauce, combine 1 of cup granulated sugar and 1 cup of water in a saucepan. Bring the mixture to a boil, add a 12-ounce package of fresh or frozen whole cranberries and simmer the mixture for approximately 10 minutes, stirring it occasionally.
While the cranberries cook, place a fine mesh strainer over a mixing bowl. Pour the simmered cranberry mixture into the strainer and mash the berries using a potato masher or the back of a spoon. Stir the mashed cranberries into the bowl of liquid and transfer the mixture to a serving container. Cover the container, allow it to cool to room temperature, and refrigerate it until serving the jellied cranberry sauce.
Alternatively, peel and dice a Fuji apple. Add it to a medium saucepan along with 1 cup granulated sugar, 3/4 cup water and a 12-ounce bag of fresh cranberries. Place the pan over medium-high heat and bring it to a boil. Stir the mixture often while boiling it for approximately 15 minutes, or until the sauce is thick and the berries break down.
Line a loaf pan with plastic wrap and apply cooking spray. Transfer the mixture to the loaf pan. Refrigerate the jellied cranberry sauce for at least three hours before inverting it on a serving plate. Remove the plastic wrap and slice the sauce into individual servings.