Place chicken breast halves in a plastic bag; set aside. For marinade, combine the 2 tablespoons rice vinegar, 1 tablespoon soy sauce, 1 teaspoon sesame oil, ginger, and white pepper; pour over chicken. Close bag and marinate in the refrigerator for 2 to 24 hours, turning bag occasionally.
Drain chicken; discard marinade. Grill chicken on the rack of an uncovered grill directly over medium coals for 12 to 15 minutes or until tender and no longer pink in center, turning once. (Or, broil 3 to 4 inches from heat for 12 to 15 minutes or until tender and no longer pink, turning once.)
Meanwhile, in a small bowl whisk salad oil into peanut butter. Stir in 3 tablespoons rice vinegar, 1 tablespoon soy sauce, brown sugar, 1/2 teaspoon sesame oil, and crushed red pepper; set aside.
Meanwhile, cook pea pods in a small amount of boiling water for 1 to 2 minutes or until crisp-tender; drain.
To serve, diagonally cut chicken breast halves into thin slices. Arrange greens on a serving platter or individual plates. Top with sliced chicken and pea pods. Drizzle with peanut butter dressing. Sprinkle with sesame seeds. Makes 4 servings.