In order to get the awesome Madden-esque camera views that you describe (at least for outdoor sports), stadiums would need either overhead camera supports or massively zoomed in angles from the ends of the stadiums, and it would be nearly impossible to guarantee a consistent angle between venues.
Imagine the fun of that, you could control the cameras in almost a 3d software setting.
Or maybe one day computer vision will be so good that it can infer any angle/point on a field from multiple inputs.
You used to be able to choose among a group of 4 or more camera angles on a couple of the DirecTV sports packages as well, and you likely still can do that. I know NASCAR is deep into that sort of thing, but I am not a fan so I don't know much about it.