I eat all kinds of basic meat... beef, pork, turkey, chicken, ham, etc. There are some meats that are very difficult to get in my rather rural area, like lamb so I don't eat that.
One thing my stomach can't tolerate is wild game, so I never eat that. I've had venison that was good in the past, but I'm not sure I'd be able to eat it any longer either.
One thing about eating wild game that is important to know. You should make sure you cook.all the wildness out of the meat before you eat it. That way it will not taste so strange. That is what my father told me long ago when he first fed me deer meat.