For accuracy, you just can't beat a high-tech compound. However, for hunting I STRICTLY use one of my recurves. I have one (with low poundage) for bowfishing, one for deer hunting ( I do use a compund sometimes, depending on which stand I'm hunting), and one for big game like moose and elk (with HEAVY poundage, 70#'s at 28"... I shoot 32" so I don't know what it's at). I used to use a compound for all my hunts until the string broke on my Matthews! Not a big deal when doing an afternoon deer hunt, right? But when you're backpacking for elk and you're MILES away from any kind of civilization... well, let's just say that my hunt was finished. Bythe time I got home, got 'er in the press, and got a new string on it, there was NO way I'd be able to get back into the mountains where I was hunting. With my recurves... I just pack two extra strings. Problem sloved. The real question is: What do YOU feel comfortable shooting? Some people never get the hang of shooting a "bare" bow. Myself, I learned with a recurve and find instinctive shooting quite simple. On top of all this BS... a recurve is the only way to go when hunting geese! It's easier with geese because you don't HAVE to come to full draw. You can just "snap shoot". No worrying about anchor points. It's a BLAST!!!!! Like I said though, and I'm sure all these seasoned hunters will agree, go with whatever feels comfortable to you.
On a side note: A real good recurve is gonna run you some serious green. I've got a Palmer for big game and deer but I got a PSE Coyote for the lighter stuff. Heck, you can always try and build your own recurve... but it takes time and patience.