Couple years ago while on a mediterranean cruise we had lunch at a little restaurant in Katakolon Greece. I was curious about this too, so I ordered the gyros just to see. I was expecting the traditional gyro like we'd get in america, roasted meat (most likely lamb) and veggies with takziki (or however you spell it) wrapped in a pita. What I got was thin strips of roasted, whole muscle meat (similar to what you'd get in a fajita here), tomatoes, onions, cucumbers and takziki sauce on the side, all on a plate. No pita to be found. Later I was told that you get the pita type from the food cart stands, in restaurants you get it without the pita.
So anyway, my experience with Greek gyros is it's whole muscle meat. I did not get to see how they roasted it, but I'm guessing on a spit.
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