Insidious (2010)
The opening title sequence of Insidious focuses a lot more on the red titles and music rather than the image. Before the titles, we are shown a little boys room at night along with ominous music getting louder. Once you see the demonic woman's face, the music fades out to complete silence, and then the title 'Insidious' pops up along with extremely loud creepy violins playing. Afterwards, multiple pictures are shown along with very quiet, foreboding violin music. This would build up a lot of atmosphere for the audience as the violins get more intense.
Sinister (2012)
The opening title sequence of Sinister is of a family being hung from a tree. The crackling, creepy non diegetic sound helps build suspense as the family is slowly risen of the ground to their impending death. The diegetic sound of the tree branch slowly falling, shows the slowness of the murder, this impacts on the audience as it shows them how the painful death of the family is dragged out over a long period of time which the audience would view as especially cruel.
The Purge (2013)
The trailer for The Purge features a sinister, non-diegetic soundtrack of gospel choirs, singing menacingly over an action sequence as well as a calm non-diegetic piano peace that plays at the beginning paralleling the soft nature of the opening scenes.