Animations apart from killing animations and character walking aren't really improved at all in skyrim since oblivion, so we've got animations from year 2006. No animations for grabbing items, opening doors, falling from a high place, animations in the game look just bad there are lots more missing and bad animations than those I just mentioned, most of them are just reused from oblivion.
Physics are terrible, there is no improvement at all for nearly 6 years now, the same buggy bad ragdoll physics as in oblivion, npc reactions for getting hit are really bad, and are very similar to oblivion ones, their reaction doesn't depend on where you hit them etc.
Shadows, lighting: Huge improvement since oblivion but still very bad as for 2011/2012 game, shadows look horrible on people, lots of lines instead of a normal shadow, many lights don't give shadows at all, shadows don't change in real time but every couple of game world minutes.
I have to say textures are good, but on some walls and ground they look very bad and have low res.
I like the detailed world, every plants, food etc. are detailed.
You can't see your own body in first person view and camera is too low.
There should be more graphical options like blur or better reflections.
Still you can't see through windows which maybe isn't a big thing but changes a lot at least for me.
Water looks really bad, and has nearly no reflections, and it just looks unrealistic.
AI is not bad, but it's not very good either. They finally don't magically know where you are so you can hide behind walls etc.
They react to many things like dropping items, running into them, moving their things etc. so that's good.
But they are still stupid, especially companions AI, I don't need to say why because everyone know why.
Also they don't react when you put something on their head and they talk normally with you after some time when you killed their relative.
They just run into traps, don't go around them, sometimes they can't get into simple places, I have never seen them jumping so that's a big minus for me.
So what do you think about skyrim graphics and AI? Please if you want to write about skyrim graphics, try writing more than just one sentence because from one sentence I won't know very much about your opinion