Thaw shrimp, if frozen. Peel and devein shrimp, leaving tails intact if desired. Rinse shrimp and pat dry with paper towels. Place shrimp in a large resealable plastic bag set in a shallow bowl.
In a small bowl combine vinegar, ½ teaspoon orange peel, orange juice, shallot, olive oil and salt. Pour over shrimp. Seal bag and toss gently to coat shrimp. Marinate in the refrigerator for 1 to 4 hours.
Preheat broiler. Remove shrimp from marinade, discarding marinade. Arrange shrimp on the unheated rack of a foil-lined broiler pan. Broil 4 to 5 inches from the heat for 4 to 6 minutes or until shrimp are opaque, turning once halfway through broiling.
Sprinkle shrimp with additional orange peel.
Serve with Herbed Orzo and Easy Roasted Zucchini (see associated recipes).