Servings: Serves 8
Ingredients 3/4 cup plus 1 Tbsp. extra-virgin olive oil1/3 cup red wine1 Tbsp. red wine vinegar or balsamic vinegar2 tsp. dried oregano , preferably Greek2 tsp. finely chopped thyme2 cloves thinly sliced garlic1 piece (4 to 5 pounds) boneless leg of lamb , trimmed and butterfliedSalt and freshly ground pepper1 cup plain (2 percent) Greek-style yogurt1/4 cup chopped mint1 English cucumber , peeled, halved lengthwise, seeded, and thinly sliced1 cup pitted Kalamata olives
Combine 3/4 cup olive oil with wine, vinegar, oregano, and thyme in a 9" x 13" baking dish and whisk together; stir in garlic. Generously season lamb all over with salt and pepper to taste, then arrange in dish, turning to coat all over with marinade. Cover and refrigerate, turning lamb occasionally, for 2 hours or overnight.
Prepare a charcoal grill or preheat a gas grill to medium-high heat. Meanwhile, put yogurt and mint in a small bowl and add salt and pepper to taste; stir to combine, then set aside. Toss cucumber slices in a medium bowl with remaining olive oil; add salt and pepper to taste and set aside.
Remove lamb from marinade and pat dry. Arrange on grill, fat-side down, and cook until deep golden brown, about 15 minutes. Turn lamb over and continue grilling until a meat thermometer inserted in the thickest part registers 130° for medium rare, about 15 minutes.
Transfer lamb to a large platter or cutting board and set aside to rest for 10 minutes. Cut lamb into thin slices against the grain; transfer to plates. Serve with minted yogurt, cucumbers, and olives. If desired, serve grilled skewers of grape tomatoes and warm pita bread as extra sides.
Extra idea: Turn the elements of this dish into a gyro (Greek sandwich). Finely chop the cucumber with some garlic and combine with yogurt. Spread on grilled pita bread; top with lamb and diced tomatoes.