I think it depends on what is meant by post-earth. I'll be interpreting it as "it is possible and for a human to be born off-Earth and live their entire life without going to Earth." Notably, since it's post-Earth, it must a setting where Earth is confirmed to exist, as opposed to Star Wars, VOTOMS, Kaiba, etc.
Only stuff I've seen and like:
<TVStar Trek TOS, TNG, DS9, VOY, ENT
<AnimeCaptain Harlock (and the rest of Leijiverse by extension)
Gundam main universe (probably most spin-offs too)
LOGH
G Fighter Gundam (it's almost all set on Earth, but most of Humanity lives in space)
Cowboy Bebop
Gankutsuo (I've only seen the first episode but it looks kino)
>>369411Oshii works are deeper and better animated; his stuff had massive influence on Groundhog Day, The Matrix, Inception, etc. I still like LOGH though.