What if animals furs and meat were worth more? What if shops could accumulate certain demand on specific furs and meats when stocks are low?
What if hunting animals was more demanding of your skills? Sort of a training ground for assassins and thieves, practising your silent movement and tactics on deer? What if this time they wouldn't spot you a mile off and gallop like the wind in the other direction? Different animals in demand would call into question different tactics. Sure, a bow and arrow would be very effective on a wary deer, however gathering a wolf pelt is going to be another story indeed. You will need protection against pack hunters, so you would have to adapt. What if a wounded animal moved slower, and often tried to escape? As you level up, you can't really expect a challenge from the game if every animal can be killed in one surprise attack, and it would be horrendous if we had the same movement speeds as Oblivion, with one monotonous chase where both characters move at the same speed.
What if animal furs were craft-able into different armours? A bear, wolf or deers head for a helmet, different furs for armour. Perhaps they offer different levels of environmental protection, with the wolf fur offering the most warmth. Perhaps they may offer intimidation? The day a man with a bear for a head takes a swing at you with a 150-pound hammer, is the day you may consider restitution. Just think, performing a shout as 10 mean charge your vicinity, with a wolf on your head!