In a small bowl, whisk together the olive oil, vinegar, garlic, oregano, mustard, salt, and several grinds of pepper.
On a large platter, arrange the cucumber, green pepper, cherry tomatoes, feta cheese, red onions, and olives. Drizzle with the dressing and very gently toss. Sprinkle with a few generous pinches of oregano and top with the mint leaves. Season to taste and serve.