Thought of another one: Silent Hill.

The Team Silent entries have great stories and characters, and I'll agree the interactive nature of the medium helps make the world and events even more unsettling, but I would seriously be lying if I said that actual gameplay/puzzle aspect of the game was the primary draw of these titles. Considering the games carry over a lot of my least favorite elements from other games like tank controls, contrived door lock puzzles, and troutty auto-aim; I sometimes wonder how I made it through some of them.