The 21st annual Interactive Fiction Competition is currently on, through mid-November. Voting is open to the general public; the only prerequisite is that you not be an author, not vote on games that you tested, and submit votes on at least five games.
Crossroads is a Twine game about meeting a witch in the woods. It branches very broadly and is extremely open-ended about what ultimately comes of the encounter, as well as the protagonist’s backstory in reaching that point.
A Figure Met in a Shaded Wood is a Twine game about meeting a fortune-teller in the woods. It is quite linear, and makes a point of undercutting expectations about replay.
In neither case does a single playthrough occupy more than 10-15 minutes, I would guess. (Maybe closer to 5.)