I have had just about all of the above, except for Caribou.
#1 has to be a 2 1/2 year old, corn fed ohio doe. I pull the inside loins out right when i field dress and marinade for a day. Wooooeee are they good.
#2 Elk steaks or loin!
#3 Moose
#4 Mulies and Pronghorn, Maybe its because i wasn't brought up on them, but that sage taste is different. I'll eat it and don't mind it, its just different.
My least favorite was a Barbary Sheep a.k.a. Audad that my buddy shot in New Mexico. It could have been the age of the ram but it was tough and had a taste like no other. I doubt it had much to do with the care of the meat ,as I have hunted with this guy many times and that is tops on his priority list, as it did with the age of the animal.
As for small game, nothing beat a good rabbit pot pie, or pheasant and Chukar breast injected with creamy italian dressing and wrapped in bacon!