Remove stems from kale; wash leaves thoroughly.
Bring 1 cup water to a boil in a large Dutch oven; add kale.
Cook 15 minutes or until tender.
Drain kale; cool slightly.
Chop kale, and sprinkle with vinegar.
Heat oil in pan over medium heat.
Add onion; saute 3 minutes.
Add garlic and mushrooms; saute 2 minutes.
Add rice; cook 1 minute, stirring frequently.
Add basil, broth, and bay leaf.
Bring to a boil; cover, reduce heat, and simmer 12 minutes.
Spread kale over rice.
Cover and cook 5 minutes or until liquid is absorbed.
Discard bay leaf.
Sprinkle with cheese and pepper and toss well.
Ready in 40 min.