Genepunk

Pretty awful.

Organics ain't shit but flesh and dicks.

this
pretty much anything-punk is not just about excessive showing of that particular anything but also reflection on how those things, when gotten out of hand and/or being hoarded by a few, can ruin civilization, to a greater or lesser extent
in gene-punk the elite population (in gattaca is the rich and the intellectuals, in your setting it can be whoever you deem necessary) have total and complete access to advanced gene editing and have been for a couple of generations. therefore the elite are more everything&anything than the regular rabble (whether you want to introduce malfunctions or defects in the technology involved to give some balance to the settings is up to you)
taking the example of the OP pic, if you were to run Beyond Earth as genepunk there should be noticeable injustices contributing to a dystopian society (in Beyond Earth it is assumed all your population benefits from your affinity)
second class citizens, caste systems, even dehumanization of the unaugmented come to mind

Bioshock

Goddamn sploicers. And that one episode of Batman Beyond.

Aeon flux is a good example. (original series more so)
It's really weird but good if you like mind screws.

You can find full episodes on youtube

Eh, the pic was mostly to have a kinda related pic.

And it's not from Beyond Earth but Starships

None of those present a setting wide class conflict with personal opposition to authority.

OP, you want to read the short story anthology "Live without a net".

I think you missed the joke m8.

You need to define your premises at least a little, OP.

The medical and biological technology of the next century mixed with the social situation of the previous century. The upper class has used this technology to become even more unassailable, while desperate working-class folk buy modifications from back-alley doctors or even 'volunteer' as lab rats to pay off their debts.

PCs are mostly-human experiments working against the system, or if the GM is good enough, working as tools of the system and eventually realizing that they aren't the good guys.

twigserial.wordpress.com/

The web novel Twig is pretty good at depicting such a thing.

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How is Star Wars not about opposing authority?

Except I am trying to learn what Genepunk or biopunk would be, what does tg think of those, what is the difference, etc

Still waiting for a cyberrockabilly setting.

en.wikipedia.org/wiki/Ronin_(DC_Comics)

I'm thinking it would be any setting where bioengineering and genetic manipulation exist on a large scale. So you have replicants and supermen running around.

The "-punk" suffix is so fucking superfluous nowadays. You don't need to sort every single genre trope you like into its own special -punk setting. Just have a sci fi game with biotech.

Because they're fighting to institute a different authority? The Republic is just as much of a government as the Empire, and a whole lot less imposing.

Take a -punk setting, any type of -punk doesn't matter.
Now change most of the machinery to unpleasant fleshy things.
Congratulation on your new biopunk setting!

Everybody is so heavily mutated that the concept of "player race" is moot, most technology is organic, and a despotic eugenic regime rules the land.