Preheat oven to 350°F. Grease a 9 x 13-inch baking dish; set aside. Melt the butter in a large skillet over medium heat. Add the mushrooms, onion, and celery; sauté until tender, about 6 to 8 minutes. Transfer the veggie mixture to a large bowl.
To the same bowl with the vegetables, add the chicken, rice, soup, milk, sour cream, chives, parsley, and thyme. Stir gently until completely combined. Taste and season with salt and pepper, if desired.
Transfer the mixture to the prepared baking dish.
PREPARE THE TOPPING
In a medium bowl, stir together the crackers and French-fried onions. Add the melted butter and toss to combine. Sprinkle over the top of the casserole.
BAKE THE CASSEROLE
Cover the casserole and bake until the filling is hot and bubbly, about 25 to 30 minutes. Remove the cover and continue baking for 5 to 7 more minutes, until the topping is lightly toasted. Garnish with fresh parsley, if desired.
Notes
Try microwaveable packets of rice for another shortcut, or use leftover rice from a previous meal.
For a lighter option with less sodium, feel free to substitute with the Heart Healthy variety of condensed soup.