In my experience rabbit is usually hatcheted into quarters and saddle, as described (and lamented) in this post.
One year Lisa and I were in Piedmont in northwestern Italy in September, and it seemed that every restaurant was serving rabbit, and all of them had boned-out the entire animal, then rolled it into a cylinder and braised it, usually in Nebbiolo wine. It’s a beautiful, thoughtful way to prepare the animal. At first it didn’t make sense to me: I was hung up on theoretics, asking ridiculous questions like, “Won’t the tiny, slender loin get over-cooked before he belly tenderizes?” This might be true of pork, but I can tell you from empirical study that it is not an issue with rabbit.
So: To Bone a Rabbit.
Make an incision along the breast bone. Remove the flesh from the breast by following the rib cage from the breastbone to the underside of the foreleg. Bend the foreleg up as you go.
Continue to remove the meat from the rib cage, moving down the rabbit, folding the meat up and away from you. Once you have removed the meat form the last rib you will then be at the belly flap. Fold this up and away from you as well.
Bend the hind leg up and away from you. Snap and cut through the joint where the thigh and hip meet.
Carefully remove the loin from the backbone. At this point you have removed half of all the meat from the main body.
Flip the rabbit and repeat all these steps to the other side. The meat should only be connected to the skeleton in one place, a line along the top of the rabbit’s backbone.
Remove the last connections at the top of the spine. At this point you have a relatively uniform sheet of meat, but the fore- and hind-legs still contain bones.
There’s no trick to removing these bones: make small cuts following the bones as closely as possible.
You now have an entire rabbit sans bones. Season assertively with salt, pepper, and herbs. You can roll the entire thing into one large spiral, or your can roll each side in towards the centre to achieve a double-scroll, with the two loins protected in by the centre of each roll.
Braise this little bundle in red wine. The meat will be tender in only a couple hours.