This is the go-to spot whenever I'm staying at a nearby hotel like Bally's or Flamingo. Open til 5 AM, you're going to get your appetite satisfied with their delicious gyros. The flavors are so good, they might even measure up closely to some of the better NYC food carts.
My choice is aways the chicken and lamb combo. You get a hefty portion of both meats, a good portion of rice, and a whole plethora of veggies/condiments. Their white sauce might not beat the original Halal Guy's white "crack" sauce, but it gets the job done. And unlike the Halal guys "burning hot, so hot you might die" hot sauce, Istanbul's hot sauce is actually reasonably hot without detracting from the flavor.
I started ordering one bowl at a time on our staycations on the Strip, but when my wife started finishing up my bowl, we now order our own. It's plenty of food but it's hard to put down once you start. Definitely a great and cheap option when trying to locate food on the Strip.