Combine meat with garlic, cumin, paprika, salt, and pepper and mix until well incorporated. Divide mixture evenly into 4 portions. Press each portion onto the top of 1 pita; press and spread meat almost to the edges.
Heat a large skillet or griddle over medium-high heat until hot. Place pita meat side down in skillet. Press pita down with the back of a spatula so that meat stays thin while it cooks. Cook, undisturbed, until browned and meat easily releases from the pan, about 3 minutes. Flip and cook 1 more minute. Repeat with remaining pitas.
Toss lettuce, parsley, dill, pepperoncini, red onion, feta, lemon juice, and tzatziki together in a bowl until well combined. Divide salad mixture among pitas and top evenly with tomato slices. Fold in half and serve immediately.
