I like longbows myself, but either one will work for hunting. Longbows are easier to quiet than recurves, but recurves can be quieted down too with a bit of work. Longbows are generally lighter in weight. My Kanatis are short, light, quiet, and fast...perfect. My Kota is longer, but still light, quiet and fairly fast. It has the advantage of being a takedown...great for travel.
My Badger is still fairly short at 58" or 60" depending on the limbs. It takes down for travel and is smooth and fast. It also shoots really well and I have it pretty quiet, not quite as quiet as a longbow, but close. It has a lot more mass. Some guys like that, but I am more used to the light weight of the longbow.
As has been said it is personal preference, but as you may have noticed, I have both :D