I got distracted by the Auto Road portion of this thread. Here's some on the actual skiing.
The skiing in the video is extremely accessible and some of the easiest skiing on Mt. Washington. The terrain is maybe 20 - 25 degrees. The hazards are the obvious and not so obvious rocks. Since the snowfield is covering a rock pile you have to tread carefully.
Car skiing is possible, of course, when the auto road is open which varies from year to year. With auto access to the summit you can ski the snowfields in the video as well as terrain North and West of the Summit. Generally, but not always, Tuckerman Ravine is past its prime when the auto road is open. You could ski the snowfields then hike to Tucks, but unless you know what you are getting into, both terrain and conditions, it isn't recommended.
Great Gulf, to the N and E of the summmit, offers a wide range of skiing from some moderate ravines to gnarly rock walled chutes. With names like Airplane (after the airplane debris) and Spacewalk, it is an exciting place.
Going S and W from the summit can land you in Ammonoosuc Ravine which offers a great ride down to the base of the cog railway. There are other runs that I've not done to the N of Ammo on Mt Jefferson.
Here is a picture of a coal fired engine alluded to above.