Prepare rice according to package directions.
Meanwhile, heat oil in large ovenproof skillet set over medium heat. Add eggplant and season with salt and black pepper; cook for 3 to 5 mins or until starting to brown. Transfer to plate and set aside.
Stir onion, garlic and oregano into skillet; cook for 3 to 5 mins or until onions are starting to soften. Stir in tomatoes, broth, lemon juice and bay leaf; bring to boil. Cook for 15 mins. Stir in rice and reserved eggplant in the last 5 mins of cooking. Remove and discard bay leaf.
Garnish with a sprinkle of fresh parsley or dill if desired.
Sprinkle with crumbled feta cheese before serving if desired.