Currently when a wild animal is butchered all the parts are of the same base quality. This combined with the fact that the quality escalates to ludicours levesl for the larger animals means that Bears are hands down the most desirable kill, players generally hunt smaller game only as a stepping stone to get to Bear.
This is simply boring and should be changed by giving each butchering product for each animal a seperate base quality level, the hide, intestines, meat and bone would all be different and one animal would not be superlative in every catagory. Rather each animal offers a mixed bag, some of its parts being high quality if not superlative while other parts are medioucure or even low quality. A hunter trying to bring back high quality food would target differnt animals from one seeking to make leather, or collect bones.
My sugjestion for the roughly how the current animals would break down, low is 10-20, mid is 20-40, high is 40-60. Bear would retain the best Bone (their bones being the most robust and usable for crafting) while also having a high value hide and mid level meat, Intestines would be low in quality. Fox and rabbit could have equally good hide (both animals were desirable for pelt) while retaining their low quality intestines and bones, meat would be mid range. Boar should probably have the best meat while having low quality hide and mediocure intestines and bones. Deer give good meat and good hide, mid level bones but low quality intesines. Auroch give low quality meat, good bones and intesines (and perhapse a greater Intestines:meat ratio being ruminents) and mid level hide. Mufflons give low level meat, bone and intestines, and mid level hide. Chickens would be mid level meat and low quality bone.
Naturally domesticating Auroch, Mufflon and Boar should start with their quality levels in hide and meat that reflected the new base values rather then always starting at 10 a level abismally below that of the none domesticatable animals. In addition they should also have bone and intestines quality levels again retained from the base wild value and then subject to normal breeding change.