Christopher Nolan's DCEU, fans love these films unconditionally and would be more than happy to see a continuation from Nolan.
Considering that the director is not returning to superhero movies anytime soon, all we can do is be satisfied with what we already have.
Rachel Dawes: Gryffindor
Perhaps one of the few bad things about the trilogy was the recasting of Rachel Dawes who was played by Katie Holmes in The Dark Knight when Holmes refused to return. Nevertheless, both of them were great as Rachel.
Rachel is very kind towards everyone she meets. With time, a love triangle develops between her, Bruce, and Harvey which doesn't really end up good for all of them. But the reason why Rachel dies at the hands of Joker is not just because she is so valuable for Bruce and Harvey, but also because she is actively fighting crime. And, of course, she does this because she is a Gryffindor.
John Blake: Gryffindor
Introduced in the last film in the trilogy, John Blake was a nice addition to the story considering that he was hinted to be Robin and would take on the job of Batman after Bruce Wayne's/Batman's staged death. Though there was no fourth film to prove or disprove this theory, fans have imagined all kinds of scenarios.
John is naturally very smart and has an inquisitive mind which makes him very similar to Rachel - they both ed the forces that keep the society in order. John is also the one who persuades Bruce to go back to fighting crime. John is evidently a Gryffindor.
Lucius Fox: Ravenclaw
Lucius Fox did not always agree with the methods used by Bruce to achieve his goals in fighting crime as Batman, but he did help him nonetheless. There is no doubt that Bruce values Lucius a lot for all the help he provides considering that Lucius is also extremely intelligent and knowledgeable.
Lucius is a smart man who ires and respects Bruce. One of the reasons why he helps him is because he genuinely believes in Bruce and what he does for the greater good and the well-being of Gotham City. With his experience and intelligence, Lucius is a Ravenclaw.
Ra's al Ghul: Slytherin
Ra's al Ghul is a great character both in the comics and in Batman Begins. The development we see in the relationship between Bruce and Ra's is quite interesting to watch, but what is even more peculiar is how this relationship comes to a close in The Dark Knight Rises when Bruce finds out that he now has to oppose the child of Ra's - Talia al Ghul.
Ra's is a very wise man with his own morals and views on the world. He teaches Bruce both his philosophy and his fighting style, showing that he is strong both in the physical and the mental senses. Yet, Ra's decides to channel his abilities to achieve his own wicked goals making him a Slytherin.
Selina Kyle: Ravenclaw
Allegedly, the reason why Anne Hathaway got the role of Selina Kyle, Catwoman, is because DC found out that she was previously considered by Sony to play Black Cat in the unrealized fourth Sam Raimi Spider-Man film.
Selina is a very sly and smart woman who is willing to construct detailed plans to achieve her goals. She is mostly out only for herself and can even improvise pretty well to get out of complex situations. Nevertheless, there is something good in her too which makes her help Bruce save Gotham City. Selina is definitely a Ravenclaw.
Dr. Jonathan Crane: Slytherin
Originally, Cillian Murphy auditioned for the role of Bruce Wayne but got the role of Dr. Jonathan Crane, also known as Scarecrow, who acts as one of the villains in the trilogy. Not only is he an experienced psychiatrist, but also a wicked scientist pursuing his personal interests.
Most likely, Jonathan is Slytherin. Though he is smart enough to have created the Fear Toxin, his primary weapon, he is pretty much defenseless without it and doesn't have enough influence behind him to be a big threat to Bruce.
Jim Gordon: Hufflepuff
Like many other characters on this list, Jim Gordon has dedicated his life to fighting crime. He is one of the few honest cops in Gotham City, so when Bruce becomes Batman and finds out about him, they become allies pretty quickly. That being said, Jim is not the strongest character in the trilogy.
It seems that Jim is more of a Hufflepuff than a Gryffindor. He wants to get rid of crime and bring justice, but he often relies on others - namely, Batman - to help him (even though this decision probably comes from the fact that he realizes his relative helplessness in the situation).
Alfred Pennyworth: Hufflepuff
Ever since his parents died, Bruce has considered Alfred Pennyworth his only family. Indeed, this is the man who always took care of Bruce in all ways possible. And, of course, he is the one helping Bruce to be Batman and do everything that this role requires.
Alfred is a very loyal man who has been with the Wayne family for decades. He is very smart and could probably do something else instead of working for the Waynes, but he decides to dedicate his life to them instead. With his kind nature, Alfred is probably a Hufflepuff.
Bane: Slytherin
The Dark Knight Rises might be considered not the best film by some, but it still holds up pretty well even after so much time has ed, and one of the reasons why it worked well is because of how Tom Hardy portrayed Bane.
Bane is merciless towards his enemies unless he needs to use them in some way. He is usually physically superior to his opponents and even manages to defeat Batman. Yet, all of his actions come down to whatever Talia orders him to do. At the end of the day, Bane is always a Slytherin.
Harvey Dent: Gryffindor
Harvey Dent's character brings so much to the story that it would be a sin not to mention at least a few of his accomplishments. Not only is he the representation of what Bruce is and would like to be, but he is also the complete opposite of crime in any form.
But what is truly amazing is how Joker manages to change Harvey completely and how Bruce sacrifices his own reputation for the sake of keeping Harvey a hero in the eyes of the Gotham citizens. Harvey starts out as a true Gryffindor and then turns into a deeply wounded and disillusioned man.
