Here are some sites to kick off the story site project.
This awesome tumblr blog is a directory of interactive narratives. From the few I have looked through the quality seems very high. Most of these are more documentary oriented.
http://interactivenarratives.tumblr.com/
This giant button will take you to page after useless page. Many are silly, but a few are interesting from a technical perspective. Be sure to view the page source code if you find something cool. See if you can figure out how it works, or if there is a script or plugin you can use to achieve a certain effect.
Some silly experiments with CSS.
http://www.fucking-windows.com/
Cool webfont demo using CSS.
http://lostworldsfairs.com/atlantis/
Intro page for now defunct iPhone app. Very cool use of page scrolling to drive animations.
A silly page from the band “the books”. Very labyrinthine in feeling.
An interactive history of Mario Cart!
http://www.nintendo.com.au/gamesites/mariokartwii/
A very cool real-time presentation of the entire Apollo 11 moon landing.
http://www.firstmenonthemoon.com/
An interactive editorial about US president John F. Kennedy, and his assassin Lee Harvey Oswald.
A retrospective of interactive editorial work from 2013 published by the New York Times.
http://www.nytimes.com/newsgraphics/2013/12/30/year-in-interactive-storytelling/
Cool Ikea product microsite.
http://www.zivotjednekuchyne.cz/