My first game on a next-generation console was Pikmin 3 for Wii U.
In my opinion, aside from Destiny, I don't think I could've asked for a better game to start the next generation. It makes, to me, excellent use of the gamepad while not feeling shoehorned in. The visuals are gorgeous, the controls (Wiimote + nunchuk) are perfect, and the game is simply wonderful from start to finish...well, I'm not a huge fan of the last area and boss, but before that everything is so well done. I also love the passive difficulty in the game: the challenge lies in doing everything you can in a single day, not necessarily battling the enemies.