The answers thus far talk about various pull and push reasons as to why HTTPS is becoming more and more popular.
However, there are 2 major wake-up calls from around 2010 and 2011 that showed how important HTTPS actually is: Firesheep allowing session hijacking, and the Tunisian government intercepting Facebook logins to steal credentials.
Firesheep was a Firefox plugin from October 2011 created by Eric Butler, which allowed anyone with the plugin installed to intercept other requests on public WiFi channels and use the cookies from those requests to impersonate the users making those requests. It was free, easy to use and above all, it didn't need specialist knowledge. you just click a button to harvest cookies, and then another to start a new session using any of the harvested cookies.
Within days, copycats with more flexibility appeared, and within weeks, many major sites started supporting HTTPS. Then a few months later, a second event occurred that sent another ripple of awareness through the Internet.
In December 2010, the Arab Spring started in Tunisia. The Tunisian Government, like many others of the region, tried to suppress the revolt. One of the ways they tried this was by hindering Social Media, including Facebook. During the revolt, it became clear that the Tunisian ISPs, who were largely controlled by the Tunisian government, were secretly injecting password harvesting code into the Facebook login page. Facebook quickly acted against this once they noticed what was happening, switching the entire country to HTTPS and requiring those affected to confirm their identity.