I have trouble viewing this as a trilogy due to the differences in tone, story, style and visuals throughout the three films. They feel like different universes to me.
- Begins Gotham/Docks/The Narrows. The look and feel of Gotham in Batman Begins is similar to Batman '89 and Blade Runner then it is a real city. It rains, it has the monorail. It's more fantastical and stylized like the Gotham of the comics. These things don't exist in TDK or TDKR.
- TDK is 100% Chicago
- TDKR is Pittsburgh, LA and New York
- Katie Holmes Rachel becoming Maggie Gyllenhaal Rachel is jarring.
- Little Jimmy Gordon. In Batman Begins he's a crying infant, no older than 1 or 2 years old (very much like Batman: Year One). In The Dark Knight, which takes place a year later ("a year ago these cops and lawyers wouldn't dare cross any of you"), Jimmy Gordon is 8 or 10.
1 to 10 in about a year? He must have been eating his spinach
- Wayne Enterprises is located at the Wayne Tower building (Chicago World of Trade). In TDK and TDKR, Wayne Enterprises is changed. In TDKR it becomes Trump Tower.
- The complete absence and mention of the Joker in TDKR. He no longer exists as he's reconnected out of TDKR's history. Yet, Rachel and Dent somehow remain.
Other than Bruce Wayne's characterization and arc, I view each film as part of it's own universe. They just look and feel so different and far removed from each other.
Begins is an adventure comic book origin story.
The Dark Knight is a crime drama/action story.
The Dark Knight Rises is a disaster/war story.
This isn't like LOTR where they were filmed back to back and are part of a whole. It's more like the Star Wars film where each film was thought up and worked on one film at a time. In Star Wars, Darth Vader isn't Luke's father. The tone and look of the film is vastly different than Empire's. In Empire Luke and Leia are not brother and sister, etc. etc.
I view each of them separately. The only constant is Bruce Wayne.