Bro, that one puzzle from Another Code still blows my mind. The World Ends With You is a good example as well, though I'm unsure if the mobile version captured an experience similar enough because I never tried it. Can't really imagine it's the same thing though, or better for that matter.
That said... OP, I wish I could tell you that I played games on the Wii U that convinced me it was a good idea. I think Splatoon was pretty handy with it, and I personally like a lot of the gamepad moments in The Wonderful 101, even if it had far too many and it was kinda sad that using the touch screen was the worst way to play that game. I have hopes that maybe the Switch can have the one odd game that'll do something great, but really I don't see a lot of use for it.
EDIT: just wanna briefly add that lowering the menu usage in OoT for the 3DS game was great. That game was slow as hell when you wanted to go into the inventory and that one change really made the difference.