Combine broth and wine in a 1-quart glass measure. Microwave at HIGH for 5 minutes or until mixture boils. Remove from oven; keep warm.
Combine onion and oil in a 2-quart casserole. Microwave at HIGH 4 minutes. Stir in broth mixture and rice. Microwave at HIGH for 15 minutes or until the liquid is almost absorbed, stirring every 5 minutes.
Stir in the shrimp, corn, bell peppers, basil, and oregano. Microwave at HIGH for 4 minutes or until shrimp are done, stirring mixture every 2 minutes. Stir in cheese.