Prep the oven and pan: Preheat the oven to 375°F (190°C). Lightly grease a 9x9-inch or 2-quart baking dish with olive oil.
Make the creamy base: In a large bowl, whisk the Greek yogurt, mayonnaise (if using), olive oil, Dijon mustard, lemon zest, and lemon juice until smooth.
Season with a pinch of salt and pepper.
Add aromatics and seasonings: Stir in the garlic, oregano, smoked paprika, and half of the Parmesan. Taste and adjust salt and pepper. It should taste bright and lightly tangy.
Fold in the mix-ins: Add the cooked rice, tuna, onion, bell pepper, zucchini (squeezed well), peas, cherry tomatoes, and parsley.
Gently fold until everything is evenly coated and distributed.
Assemble the casserole: Spoon the mixture into the prepared baking dish, smoothing the top. Sprinkle the remaining Parmesan over the surface.
Optional crunchy topping: Mix the panko with a drizzle of olive oil and a pinch of salt. Scatter evenly over the top for a light, crisp finish.
Bake: Bake for 18–22 minutes, until the casserole is heated through and the top is lightly golden.
Avoid overbaking to keep it moist and light.
Finish and serve: Let it rest for 5 minutes. Garnish with fresh basil or dill. Serve warm or at room temperature with a simple green salad or cucumber ribbons.