As always, within Entertainment Weekly's summer movies issue is that little box at the end of each month's listing from May to August in which the "smaller" movies get a half-sentence to sentence mention. Usually, they deserve the little mention that they get. But I've slogged through and below is a list of what looks like the most interesting contenders of the group.
The Fall (imdb link) (trailer) (wikipedia link)
Bigger, Stronger, Faster (imdb link) (wikipedia link)
The Unknown Woman (imdb link) (trailer) (wikipedia link)
Trumbo (imdb link)
Religulous (imdb link) (Bill Maher on Larry King You Tube link)
Boy A (imdb link) (wikipedia link)
Choke (imdb link) (wikipedia link)