Mix until well combined. Place beef in another medium bowl. Add half the marinade and toss to coat. Marinate at room temperature for at least 10 minutes. Warm oil in a large pan or wok over high heat.

Gyros are known for their tender, flavorful meat that is stacked on a vertical rotisserie and thinly shaven off while it's cooking. It is usually served in a pita with tomato, onion and tzatiki sauce.