Last time I mentioned wanting to write a chess move parser since my earliest days of programming. Hard-core coders often see things in terms of the software behind them. For instance, I sometimes wonder about the software running my microwave oven. Andy Warhol drew our attention to how an artist is behind even a mundane soup can label. Similarly, every computer-driven item in your growing collection of smart tools and toys has a programmer or many behind it.
Dedicated coders also look at problems in terms of the software to solve them. When my (ex-)wife complained about the difficulty of scheduling teachers, rooms, and classes, for the year, I began pondering scheduling software. I think a big part of it is the challenge of solving a double-puzzle. First you have to figure out the problem; then you have to figure out the software solution.
And one area that programmers find extremely attractive is games!