Combine both rices and 2 cups water in medium saucepan; season generously with salt, if desired.
Bring to boil over medium-high heat, then reduce to simmer.
Cover, and cook 20 minutes, or until rice is tender and liquid is absorbed.
Meanwhile, heat 1 Tbs.
oil in large pot or Dutch oven.
Add shallots, and saute 3 minutes, or until softened.
Add remaining 1 Tbs.
oil and shiitake mushrooms, and season with salt and pepper, if desired.
Saute 5 minutes, or until mushrooms are slightly softened and shrunken.
Add cremini mushrooms and chopped celery; season with salt and pepper, if desired.
Cook 8 minutes more, stirring often, or until celery is softened.
Stir in vinegar, scraping up any browned bits from bottom of pan, and cook 1 to 2 minutes, or until all liquid has evaporated.
Stir in cooked rice (you should have 2 cups), broth, 2 cups water, parsley, and rosemary sprig; bring to a boil, reduce heat to medium, and simmer 3 to 5 minutes.
Remove rosemary sprig.
Serve soup garnished with parsley leaves, reserved celery leaves, and raw mushrooms.