Here are some examples of interactive stories. These projects not only tell a story, but they let people interact with the plot and/or characters.
Some of the examples in this gallery are sample projects made by the Collab Counselors. They made them by remixing this project: http://scratch.mit.edu/projects/Collab-Camp/1917121
The other examples are past projects made by various Scratchers.
For more information about Collab Camp, go to this page: http://info.scratch.mit.edu/collabcamp2011