This page shows you the list charts. By default, the movies are ordered by how many times they have been marked as a favorite. However, you can also sort by other information, such as the total number of times it has been marked as a dislike.
These are the ten most voted movies from each year of the 1960s according to IMDb. It escews considerations such as average rating and rather focuses on which movies are most watched, voted and therefore could be said to be the most "popular".
From They Shoot Pictures Don't They, 2015 edition. Top 25 films from each year 1960-69. Note that the years don't always correlate exactly with IMDB's years. Dog Star Man is in five parts on IMDB, listed as one film on TSPDT.
FuriousCinema.com's list of 50 furious films from the 1960s. See the 70s list here: http://www.icheckmovies.com/lists/furious+cinemas+50+furious+films+of+the+1970s/petegcdb/
See the 80s list here: http://www.icheckmovies.com/lists/50+furious+films+the+1980s/senorroboto/