Free running doesn't really sound like something I really need in the Elder Scrolls, but I do hope that we'll at least be able to see the player's body in Skyrim in first person, the whole "floating camera with arms" thing is an ugly mark on modern first person games that just won't seem to go away, you'd think with all the obsession over things like "immersion" and "realism", developers would do such basic and simple things as allowing players to actually see parts of their own bodies other than their hands in first person, but I guess that would make too much sense. I just don't see why so many games still don't do this, if done well, it doesn't really have any negative impact on the game, but it does make the game feel a lot more believable, and NOT having it is only going to get more jarring as the realism of games in other areas increases.
Third person also needs improvement, of course, but I'm most concerned with first person as that's probably how I'll play the game anyway even if third person is actually viable as the primary view point this time, and I don't have a concrete idea of what I'd like for third person, just overall "better" will do.
Let's not make Elder Scrolls into every other game ever. Let's let Elder Scrolls be Elder Scrolls and be unique. I don't want to play a combination of a bunch of other popular games, I want to play an Elder Scrolls game.
I wan't to play an Elder Scrolls game too, but no matter what, the Elder Scrolls is going to have some aspects in common with some other games, it's pretty much unavoidable, really, at this point, the only way a game can avoid this is if it's very premise is something that has simply never been done before, . And there are some aspects which past Elder Scrolls games didn't do as well as they could have been done, and sometimes, there may be other games that have done these things better, in these cases, it's perfectly understandable to use these games as examples of how you feel it should be, because this gives others a clearer idea of what you're asking for than just saying Bethesda should "improve" on this aspect, assuming players have played these games, of course, I haven't played either Mirror's Edge or Assassin's Creed, though fortunately, the topic starter was kind enough to include links to videos from the games in question, that was helpful. In any case, though, saying "Bethesda should improve the first person view." is kind of vague, how do you want to see it improved? If you provide an example of another game that you feel did it better, than we get a much clearer picture.
If you don't want the Elder Scrolls to have things from other games, than you should also take out character creation, combat, skills and equipment, because those are all things other games do, also, dialog needs to be removed, and so does gameplay and story, for that matter, because you know, those are things other games have, and since you're asking for the Elder Scrolls to be completely unique instead of doing things other games do, that means anything we'll see in other games needs to be removed. At least, that's what the "This is the Elder Scrolls, not [insert name of other game here]." argument implies.
Myself, I don't want Skyrim to copy other games, I just want it to be the best game it can possibly be, but there are some lessons that Bethesda can learn from other games which could help in making Skyrim that.