Based on all the thriller films already produced, based on a close look there seems to be three specific structure typically used in the thriller films. The three structure happen to be for instance a narrative opening, a discrete title sequence and also a title over a blank screen, followed by the narrative opening.
A narrative opening intends to be an opening when the audience is firstly introduced to the location and setting so its when the story of the film is taking place with the image at the background and the titles running over it and such. An specific example of this type of opening is the "panic room".
A discrete title sequence
A discrete title sequence happens to be heavily edited. It is basically when the title sequence are individually edited sequence. They are stylised and also supports majority of all the opening credits and film as well. An example of a discrete title sequence is in "seven"
Title over a blank screen
These happen to be opening which intend to have a title running over a blank screen, they happen to often include sound effects before the images and such are introduced. An specific example of this form of opening is from the film "Donnie Darko".