Here's a perfect example of a great game that's NOT on a console or PC.
Cut the Rope has a very clever and fun play style. Each box, aka level, gives the player different tools to solve the puzzles. The wide variety of these tools encourages continued gameplay as you find yourself curious what they'll do next. Quite frankly, this game can be addictive.
Having no story in a puzzler is certainly not uncommon and in this case a story just might ruin the overall experience. What makes this game a blast is that each level within a broader box level are quick. Though some are a little frustrating, in the majority of cases they're just a bunch of fun.
This is just one of those great games that fits in really nicely if you need a break from your regular busyness. It's easy to pick up and play a round though, admittedly, you will likely find yourself playing longer than you intended.