I got to play the two demos they had at E3! :S
Game is really awesome and definitely different from any of the past games, and that is very refreshing. My first demo I set a field of dry grass on fire so that was pretty neat. I also got the Fire Rod!

Second demo is at the very start of the game. Instead of going to old man or to the temple, I turned around and went into the snowy area. Cooked some Hot Peppers together to make a meal that will let me withstand the cold, then I climbed the highest peak in the area. Used my shield to snowboard down to the icy lake below.
BUT! I do have to say that on the technical side of things, the game wasn't at its best. Several times the frame rate noticeably dipped and the graphics were blurry and not as sharp as they are in the trailer and the live streams. So if that's the case, NX is a must for this game.