Startup stories where things don't go as planned but the founders find a way to persevere anyway (like Justin.TV) are way more inspiring to me as an entrepreneur than the overnight successes of companies like Instagram, etc.
A lot of people think Pinterest was an overnight success, too. Know how long they've been around?
Edit: That comment sounded snarkier than I meant it to. I guess in relative terms, Instagram is an overnight success when compared to Justin.tv.