Well, I'd say begin with 'Batman: Long Halloween'. It sets the tone for the noir - ish world of Gotham and Batman's detective side. Next, 'Batman: Hush' is a great choice as it brings in a lot of the major characters in Batman's rogues gallery. And then you can't go wrong with 'Batman: Arkham Asylum' which explores the insanity within the walls of Arkham and Batman's psyche.
A good starting point could be to begin with the classic 'The Dark Knight Returns' by Frank Miller. It's a seminal work that redefined Batman for a new generation. Then move on to 'Batman: Year One' which gives the origin story in a great way. After that, you can explore 'Arkham Asylum: A Serious House on Serious Earth' for a more psychological take on the character.
One way to order is to first read the ones that are considered the most influential. So, start with 'The Dark Knight Returns'. It had a huge impact on how Batman is portrayed. Then move on to 'Arkham Asylum: A Serious House on Serious Earth' which offers a unique and dark view of Batman's world. After that, check out 'Batman: Long Halloween' for a great detective - story - like narrative about Batman in his early days.
I'd suggest starting from the core Batman Metal storyline. Then, follow up with the companion comics that expand on the events and characters. This ensures a comprehensive understanding of the narrative.
Some of the important ones in chronological order could be 'Batman: Year One'. It's a great starting point as it shows Batman's early days. Then there's 'The Dark Knight Returns' which is set in a future where an older Batman comes out of retirement.
The general reading order for Batman: RIP graphic novels starts with 'Batman: Son of the Demon' as it sets some early context for the character. Then, 'Batman: Year One' is a crucial one as it gives the origin story. After that, 'The Dark Knight Returns' is important for understanding the darker side of Batman. Finally, 'Batman: RIP' itself which is the main storyline where Batman goes through a major crisis and transformation.
You can start with the earliest published Batman comics and follow the publication dates. That's a straightforward way to keep the story in chronological order.
I think 'The Dark Knight Returns' is a must - read. It redefined Batman in many ways and has a very dark and gritty tone. Also, 'The Killing Joke' is essential as it gives a lot of insight into the Joker's character.
One great 'Batman Joker' graphic novel is 'The Killing Joke'. It delves deep into the Joker's origin and his complex relationship with Batman. It's a classic that has influenced many interpretations of the characters.
One of the great 'Batman Gothic' graphic novels is 'The Dark Knight Returns'. It shows an older, grittier Batman. Another good one could be 'Arkham Asylum: A Serious House on Serious Earth' which delves deep into the madness of Gotham's villains. And 'Batman: Year One' is also a classic that gives a great origin story for Batman in a gothic - like Gotham setting.