Can Illogical Videogames Still Be Enjoyable?

Thanks to Skotos for its editorial arguing that there's a certain level of 'realism' that all games must stick to in order to be enjoyable. The author starts by suggesting: "Bringing realism into a discussion that includes fireballs, trolls, energy swords, blasters, and nanotechnology is, at first glance, totally out of place", but goes on to explain: "Fun [videogame] environments both surprise and reassure us. They surprise us by working on rules that are very different from those of the real world, and reassure us by having an internal consistency and logic that is reminiscent of that we find in the real world." Are there some games which break all rules of logic and still remain addictive?