Sliced Chinese eggplants into 1/8-inch thick slices. Sprinkle with salt and let stand for 15 minutes. Do the same for round eggplants and zucchinis.
Toast bread and crumble into coarse crumbs.
Add 1 tsp olive oil to a non-stick pan. Fry half the Chinese eggplants for about 2 to 3 minutes. Remove and repeat with the other half of the Chinese eggplants. Do the same for round eggplants and zucchinis.
Add 2 tablespoons olive oil to pan. Sauté onions and garlic until soft.
Add tomatoes, tomato paste, parsley, and cinnamon. Stir for a minute.
Add water and salt. Cook for several minutes until sauce thickens. Remove.
Preheat oven to 350°F (180°C).
Place half the breadcrumbs at the bottom of a rectangular or round deep oven proof casserole dish.
Place a layer of both types of eggplants followed by a layer of zucchinis.
Spoon half the tomato sauce over the vegetables. Sprinkle with ½ cup cheese.
Place another layer of eggplants followed by another layer of zucchinis.
Sprinkle the remaining bread crumbs followed by cheese.
Bake for 1 hour. If cheese gets too brown, cover loosely with foil.