I do wanna mention the "Vertigo Universe" is technically on New Earth but via Hypertime.
Hypertime is essentially a version of DC history from an earlier "timeline" period - for example: the pre-Crisis events of Supergirl that didn't occur on Earth-Prime or the erased/heavily-altered timelines of the Vixen and Freedom Fighters animated films set in the Arrowverse.
Stuff like Doom Patrol, Sandman, etc. all of those events are canon to New Earth but told in their own way unique to a niche timeline that might been altered at some point via a Crisis event (ex. Zero Hour) or a character time traveling.