1 can (14 to 14½ ounces) chicken broth, or 1¾ cups homemade chicken broth
Active time: 45 minutes Total time: 1 hour 5 minutes
Preheat oven to 325°F.
In 2-quart saucepan, heat wild rice and 2 cups water to boiling over high heat. Reduce heat to low; cover and simmer until wild rice is tender, 35 to 40 minutes. Stir in cranberries; heat 1 minute. Drain if necessary.
Meanwhile, in nonstick 5- to 6-quart Dutch oven, melt 2 tablespoons butter over medium heat. Add carrots, celery, and onion and cook until ten-der and golden, 12 to 15 minutes. Stir in salt, thyme, and pepper and cook 1 minute; transfer to medium bowl.
In same Dutch oven, melt remaining 2 tablespoons butter over medium heat. Add shiitake and white mushrooms, and cook until tender and golden and liquid evaporates, about 12 minutes; transfer to bowl with vegetables.
In same Dutch oven, heat brown rice, broth, and remaining 1 ¾ cups water to boiling over high heat. Reduce heat to low; cover and simmer until tender, 18 to 20 minutes. Stir wild-rice and vegetable mixtures into rice.
Spoon stuffing into 13" by 9" glass baking dish or shallow ½-quart casserole. Cover with foil and bake until heated through, about 20 minutes.