Cut peppers into quarters. Cut zucchini lengthwise into 1/4-inch thick strips. Slice eggplant into 1/4-inch-thick rounds.
Combine Spicy Marinade ingredients in a 13 x 9-inch baking dish. Place vegetable pieces in mixture and toss to coat well. Cover and refrigerate at least 2 hours and up to 24 hours, turning occasionally.
About 30 minutes before serving, preheat grill to medium, placing rack 5-6 inches above heat. Place vegetables on grill and cook 4 minutes, turning once and brushing with marinade occasionally. Or, preheat oven broiler and broil vegetables 5-6 inches below broiler flame for 4 minutes on each side.
Makes 4 servings.