Depends what part of the world you're from overall. I found living in the UK for 12 years that people there have forgotten what flavour is actually like. Chicken breast - the white, boring, tasteless, dry stuff - costs about 40% more than thigh - the dark, juicy, full-of-flavour cut. That's madness. Nevertheless, more for me.
I really don't get it, I find American beef far superior to European beef in every aspect, and all other American meats to be tasteless. Chicken especially is extremely fatty and tastes like water, American pork is pretty tasteless too. I can't understand how Americans put so much emphasis on dry aged beef from a mature animal (hence, bursting with flavour), and at the same time won't do the same with pork or lamb. Well-hung, and properly cooked aged lamb (=mutton) is insanely tasty. If you're really brave you can also have ram or billy goat (the male, ungelded animals used just as studs) but these are rare even for Greece, you need to be friends with a butcher who's friends with a farmer to get them. Free-range, 16-month+ heritage breed pork that has been hung for a few weeks is insanely tasty. Same with boar (but if you get a bad boar...heaven help you, had a piece once that even my dog wouldn't eat).
Game is all about dressing, shooting and aging properly. I am not involved but a friend of mine does hunt and has sold me nice cuts from time to time.