The only thing I've ever had the stones to try was cougar. I will admit...it was delicious. Think lean pork (my take on it).
The meat came from a native CO cowboy, who had been in the outfitting business on the west slope for many moons. His favorite thing to do was chase cats in Jan/Feb with his string of dogs. He said he had never heard of someone actually eating them until a client who booked with him asked if everyone packed the meat out. He laughed and told him no one eats cat.....the client tells him he doesn't know what he's missing. Ya really have to know this ol' boy.....anyway, the comment gets his mind to thinking and long story short, he eventually carries some meat back after a client gets one.....the rest as they say is history. From what I gather, every cat they got from then on, the meat was kept. I remember him claiming one time that someone from Denver actually wanted to buy the meat.
Anyhow....someone figured out the cat meat thing long ago.
As for canines....let's just say we own dogs....seeing them in cages destined for consumption in certain parts of Asia is not a good memory.