To help you appreciate the difference, try answering this question: Were experts players of Pong, Space Invaders or any other video games consulted to contribute strategies for winning those particular games? Was a redesign required to play a new, different game?
If not, you'll need to tell me where the knowledge of how to win at those games came from. I hope you'll appreciate that the ability to autonomously obtain that knowledge by trial and error rather than design and programming constitutes the fundamental difference.
The DeepMind implementation learns how to play Atari games. You could even say that it's learning how to play one game, where your opponent chooses the game cartridge and your goal is to increment the score counter.
You would absolutely need to redesign DeepMind to play Super Mario Bros.
When you give DeepMind credit for designing itself, you are glossing over the fact that it was programmed by people, most likely for long hours.
There are probably numerous variants of it that did not learn to play Atari games, and therefore were not announced.