The Wikipedia article on TLS article has a tremendously long list of attacks against SSL. A table on that article shows a survey from September 2015. If you look at that survey, it shows that nearly two thirds of a selection of the most popular sites online are insecure.
I assume actually implementing these attacks is tremendously difficult and complex, but it still seems a little odd that ~66% of websites have known security shortfalls and 90% are susceptible to the BEAST attack, known about since 2011, if used with an old browser.
This leads me to basically having zero faith in SSL. Is this overly alarmist? Does that survey somehow paint a picture worse than it really is? Does TLS/SSL seem like a really broken concept if it's repeatedly circumvented from a tremendous number of angles?