I have noticed during my research that interactive story telling is commonly used as a teaching tool, to engage with children: http://www.bbc.co.uk/schools/laac/story/butterfly/nosound/nosound.shtml.
Here is an example that is aimed toward an older audience:
Found: on Creative Review
This interactive example combines fact and fiction, as the content is based on true stories. In this example they use the branching method, which is something that I hope to use. This is a great example for me to refer back to, it is an inspiring piece, that has achieved great success. Hopefully I will be able to achieve a piece that works well and is easy for the viewer to use, just like in this interactive piece.
More examples :
A story with small clips of games that you must complete to continue with the story, not quite a branching example, but shows aporia and epiphany well.