If you are interested in game design I highly recommend Warren Spector's master class on Video Games and Digital Media. In his first lecture he talks about how eg those point and click adventure games are no games to some extend. Highly interesting and thought provoking.
"Many games designers think its their job to tell stories, but games isn't a story medium, they should go write books or make films."
Have you heard of Sierra? King's Quest? Or maybe Legend of Kyrandia? Or in the FPS genre, Half Life? Or the Deus Ex trilogy?
These are all games in which the story has stayed with me much longer than the game mechanics.