Captain Phillips is the supposedly true story of the hijacking of an American cargo ship by Somalian pirates in 2009, and on the whole it's a suspenseful and convincing account with, unfortunately for me, two or three elements that grind me. But they may not bother you, and may actually appeal to you.
Prisoners starts out as a pretty realistic story about youngsters who go missing, morphs into a story of how people react to terrible loss and lust for vengeance-- almost an anti-vigilante story-- and ends up as a fairly standard mystery with a lot of twists and turns.
And, and is common these days, it's less a trail of clues to be unraveled to a logical solution than a story of dogged pursuit of possible suspects, until almost by accident the truth comes out.
Closed Circuit is another of those mystery thrillers in which everybody is keeping secrets from everybody else, to the extent that defense attorneys Eric Bana and Rebecca Hall are not allowed to communicate with each other, and their defendant won't speak to them.
The Spectacular Now was written by the screenwriters of 500 Days of Summer, and director James Pensoldt apparently respected their efforts, because The Spectacular Now is very nearly as great as 500 Days of Summer-- maybe just as great, because what it lacks in not having Zooey Deschanel it gains in having Shailene Woodley, whose final close-up does with facial expression more than I can imagine any other current performer doing.
I have been maligning Lee Daniels' The Butler as a movie without a central storyline, but my powers of prophecy were weak: its story is the whole civil rights movement, from beginning lunch counters to South African apartheid and the Reagan administration.