1. The Hard Goodbye:
Originally Published as Sin City over issues 51-62 of Dark Horse Presents and the 5th Anniversary Special. Later collected into a graphic novel in 1993, and retitled THG in 2005.
2. A Dame to Kill For:
First Sin City story to have it's own book. Originally published over 6 issues. Later collected into a graphic novel.
3. The Babe Wore Red and Other Stories:
A one-shot, includes the short stories And Behind Door Number Three..., The Customer is Always Right, and The Babe Wore Red. All stories were later included in Booze, Broads, & Bullets
4. Silent Night:
A one-shot, later included in Booze, Broads, & Bullets
5. The Big Fat Kill:
Originally published over 5 issues, later collected into a graphic novel.
6. That Yellow Bastard:
Originally published over 6 issues, later collected into a graphic novel.
7. Daddy's Little Girl:
First published in A Decade of Dark Horse #1, reprinted in Tales to Offend #1, later included in Booze, Broads, & Bullets
8. Lost, Lonely, & Lethal:
A one-shot, includes the short stories Fat Man and Little Boy, Blue Eyes and Rats. All stories were later included in Booze, Broads, & Bullets
9. Sex & Violence:
A one-shot, includes the short stories Wrong Turn and Wrong Track. Both stories were later later included in Booze, Broads, & Bullets
10. Just Another Saturday Night:
Originally published as Sin City #1/2, a Wizard magazine mail away offer. Later republished for the mass market as JASN. Later included in Booze, Broads, & Bullets
11. Family Values:
Original Graphic Novel, the only one of the longer stories that was originally published as a book
12. Hell and Back:
Originally published over 9 issues. Later collected into a graphic novel.
13. Booze, Broads, & Bullets:
Collection of all the previously published one shots and short stories. Actually published after HAB, even though the numbering on the spines of todays novels has BB&B as #6, and HAB as #7. This is because while the HAB series was published before the BB&B book, the collected volume (the book) was published after.
The stories actually read better in their published order, rather than chronological order. This is because the stories often make references to the other stories which were published before them, and wouldn't make sense if you tried to read them in chronological order (For instance, That Yellow Bastard takes place long before A Dame to Kill For, but if you read TYB first, there's a cameo by Dwight where he references Ava which wouldn't make any sense if you hadn't already read ADTKF.) I personally would reccomend reading the ones that you've already seen in the film too, as there's lots of little things that were glossed over in the film which will enhance your experience when reading the novels (like the scene I just referenced), but if you don't want to, that's up to you.
The published order is (1) The Hard Goodbye (re-title) AKA Sin City (original title), (2) A Dame to Kill For, (3) The Big Fat Kill, (4) That Yellow Bastard, (5) Family Values, (6) Booze, Broads, & Bullets, (7) Hell and Back. Booze, Broads, & Bullets is actually a collection of short stories which were originally published throughout the run (between THG and HAB). All of them were printed before HAB though, and if read as as unit, it makes the most sense to read it sixth (If nothing else, you have to read the 3 Blue Eyes stories from BB&B before you read HAB).
At least some editions contain the main title Sin City in the name, for example Sin City: A Dame To Kill For or Sin City Book 2: A Dame To Kill For and so on. The earlier (or original) collected volumes have bigger page-size than the re-prints that came out at the time the movie was released.