Spectre was developed by a team of students at the University of Southern California. It's a game about memory and storytelling.
From the website: "Spectre is a recombinant narrative platformer, a game that tells the story of an individual's life. The landscape before you is not a physical world, but 73 years' worth of Joseph's memory: moments of joy and fear, light and darkness. As you navigate through his specific recollections, similarly themed events will glow bright. If you succeed in these moments of play and follow a glowing path, you will find a theme uniting his experience, and uncover a little more of his fading memory. If not, your nightly story will end in confusion."
The game is available as a free download from the website.
Full disclosure: I am one of the students who developed the game. However, I think it is right up Play This Thing's alley, as it combines old-school 2D platforming with experimental narrative structure.