Predestination, the name of the movie itself suggests time travel and immediately brings flashes of Minority Report (2002) before our eyes. Ethan Hawke is a government operative, somewhat a CIA agent, who seeks out crimes and uses his time travel device which is basically a cryptex or a much portable version of the machine that was shown in The Time Machine (2002) based on the 1985 book by the same name by H. G. Wells.
Ethan Hawke goes back to June 24, 1963, and discovers something he feels is stranger than fiction. There is a twist in the tale as Etha Hawke is seen moving about with a woman who is transported into the past, April 3rd, 1963, to be exact, to look for a criminal who is responsible for tens of thousands of deaths. Watch the trailer of Predestination here.