Adam's 'Missing Classics' List

This is a list of films that might be considered 'classics' that I have never seen. I'm defining 'classic' in this sense as a popular and well regarded film (by the average joe, if not the critic), not one that's genuinely old enough to be considered a classic in the usual sense, though I am limiting myself to films that are at least five years old this year (so nothing newer than 2013 will be listed) for this feature. I'm also imposing a cutoff starting at 1960, as really old films rarely interest me. Also, it has to be films I actually want to see. This list represents something for me to work towards.Update, October 27th, 2018: Now 25% completed since originally published.
Update, February 23rd, 2019: Now 50% completed since originally published.