Seconding the suggestion for The Witness. Going through that now (almost got to the first ending but not quite), and it's really a game about learning how to se

Seconding the suggestion for The Witness. Going through that now (almost got to the first ending but not quite), and it's really a game about learning how to see things differently in the world around you, and learning how to solve problems, which is primarily what programmers do anyway. It was definitely not a waste of time. The Witness is also having a huge influence on how I approach design, since pretty much everything communicated in the game is nonverbal.