Chicken, pork, shrimp, and even vegetable "pot stickers" are all good.
But I knew them as gyoza or jiaozi before I ever heard of them being called pot stickers.
Guess that's what happens when you go where they're from. And while some folks steam them, most of the time I've had them it's fried/steamed. I make them with a bit of oil and water in a shallow pan. The oil sears and browns the bottom while the water boils off and steams them. Serve them with a little soy and rice vinegar mix, and maybe a little chili oil if you like them.
http://rasamalaysia.com/gyoza/