Combine 2 cups corn and 1 cup broth in a blender; cover and process until smooth. Set pureed corn aside.
Heat oil in a large saucepan over medium heat. Add onion and next 2 ingredients; saute 5 minutes or until tender. Stir in pureed corn mixture, remaining 1 cup broth, and milk; bring to a boil. Cover, reduce heat, and simmer 5 minutes.
Add remaining 1 cup corn, shrimp, and remaining ingredients; cover and simmer 5 minutes or until shrimp is done. Yield: 7 cups (serving size: 1 cup).