Cook rice according to dircetion on package - without salt and oil. Heat oven to 375 degrees. In a large bowl combined cooked rice and 1/2 cup feta cheese; mix well. Coat a 10 inch quiche dish or pie plate with cooking spray.
Press the rice mixture into the sides and bottom of dish. Steam zucchini, covered, 5 minutes. Press zucchini gently between paper towels until barely moist. In a medium bowl, combine zucchini, remaining 1/2 cup feta and salt; mix. Spoon mixture evenly over rice. In a small bowl; combine mint, nutmeg and eggs and mix well with a fork or whisk. Pour over zucchini mixture.
Bake for 40 minutes or until the top is golden brown. Cut into wedges and serve.