I love cornish game hen, too. I will see if I can make a recipe with that for this challenge. BTW, did you know many or most cornish game hens aren't actually HENS? In fact, by definition, a true hen has to be old enough to lay eggs, which these aren't. And probably about half of them are cockerels.
At any rate, I have some chicken recipes in mind, and I do have duck in my freezer. And quail outside.
As far as pheasant goes, I've eaten it a couple of times. I like it (well, the one recipe - the other one was shot with buckshot - Dad used to hunt, and he brought some home for dinner - thing was he made a stew with peppercorns. Pretty much the same size as the buckshot. You didn't know what you were about to run into - lead or pepper. THAT recipe was from my standpoint an epic fail.
I am very unlikely to run into pheasant, emu or ostrich. I have had ostrich dining out - back in New Orleans in the 90s. Tasted like a very lean but very tender and flavorful steak. Emu is completely unknown to me.