Combine cilantro, sour cream, jalapenos, and 1/2 teaspoon salt in food processor and puree until smooth. Spoon into bowl; refrigerate.
Patties
Combine rice, shrimp, green onions, pepper, and 1 teaspoon salt in food processor; pulse until texture is coarse. Shape into 12 patties*, approx. 3 inches in diameter.
Heat oil in large nonstick skillet over medium heat. Add 6 patties and cook 2 to 3 minutes on each side or until lightly golden; remove. Cook remaining patties, using additional oil, if needed.
Serve with sauce and lime wedges, if desired.
Recipe Notes
*Note: May be shaped into 24 (2-inch diameter patties) for appetizers.