The Illustrated Man is a collection of previously published unrelated short stories that Bradbury tied together using the frame device of “The Illustrated Man” who acts as the narrator. It is not a fix-up novel like The Martian Chronicles. However, in retrospect it was not a great choice to support my argument.
What I was trying to establish is there are plenty of collections and anthologies that either contain previously published material, a mixture of both previously published and new material, or completely new material. These collected titles are famous within their own right and have been reprinted multiple times. Some examples include:
Men Without Women by Ernest Hemingway https://www.goodreads.com/work/editions/764891-men-without-women
Skeleton Crew by Stephen King https://www.goodreads.com/work/editions/1814-skeleton-crew
A Haunted House and Other Stories by Virginia Woolf https://www.goodreads.com/work/editions/1229330-a-haunted-house-and-other-short-stories
Dangerous Visions edited by Harlan Ellison https://www.goodreads.com/work/editions/2758790-dangerous-visions
IMO it is remiss not to consider them as distinct works.