Then you have the XP fanatics. who are upset when GOG refuses to support what I pretty much a dead operation system.

But getting things to work on XP that's not intended to work with it is half the fun of using XP :O

I'm starting to really get sick of strange, bizarre posts here pushing operating systems instead talking about the games being sold on Gog. First of all, there is no "Bioshock for Linux"--total misnomer, as there is only a "Bioshock for a particular Linux distribution." And often for any Linux distro there is only WINE--which amounts to running the Windows version of the game, anyway. And if you run a Linux distro then any game ported to Linux may or may not be compatible with your version of Linux. And last of course, games ported to Linux or run through WINE do not magically get better than the same game run natively on Windows. So, what's the point? Running on a Linux distro doesn't make the game better--in fact when it comes to hardware support, all Linux distros are far behind Windows in terms of third-party hardware support. (I, personally, had nothing to do with the comparative ubiquity of Windows compared with the various Linux distros used today on the desktop, and I certainly had nothing to do with the by-comparison very limited hardware support of all non-Windows OSes.) People who are still in the immature stage of pushing OSes everywhere they go are not going to care much about gaming, period, except to gripe and say, "Why isn't X available on Linux?" Without, of course, saying *which* Linux distro they are even talking about. It's just really weirdness.

Personally, I have no objection to anyone using whatever OS trips his trigger...! People running a Linux distro can do the sensible thing--if they are actually interested in playing games as opposed to childish OS flag-waving and cheerleading--and dual boot their favored Linux distro with Win10x64--and that way they never have to miss out on a game, ever, simply because for whatever reason it isn't made available for their Linux distro. Play your game on Windows--run your favorite Linux distro for everything else. Makes sense to me. Because you can't tell me that people who give a game a 1-star rating simply because there isn't a version available for their Linux distro--even though they don't own the game in any form--know or care much about gaming at all.

Wrong. Compatible with Linux means it uses OpenGL or Vulkan for graphics, and no proprietary libraries.
I know there isn't much profit behind a Linux release, but sometimes a software should need just minor tweaks to work on Linux.
Every modern distro makes use of OpenGL to render. You're talking about people rating a game low not knowing the game at all, but rating all the people who prefer a Linux distro to chunky Windows as childish or uncaring is any better?

Well, this is a 6-year old thread, but just to answer your question (and hopefully helps out others with the same question), BioShock Infinite for MS Windows in GoG runs quite well in wine 10.0 without any tweaks, at least on Fedora Linux. I'm pretty sure it would work under any other Linux distributions.

I also have BioShock Infinite native Linux from Steam, and the native one is much more smooth (you wouldn't notice unless you actually compare them).

I myself finished the game and all 3 extras a while ago in native Linux.

I also finished BioShock Remastered from GoG using wine in Linux recently. I also had that in Steam, but never bothered since it was flaky to run in wine at the time. I'm pretty sure Steam would also work in wine nowadays, but at least GoG version worked fine after first install.

I'm now onto BioShock 2 Remastered in Linux under wine, and so far so good.

Since New Year I finished entire series in Wine on Arch Linux - including both original and remastered versions of 1&2. Overall they all work pretty well out of the box.

BS1 - both original and remaster worked absolutely flawless, with zero crashes during full playthroughs. The only small issue I had with original was not being able to change keybindings via the options menu because input was not correctly registered for some reason.

BS2 - in this case both original and remaster were occasionally crashing. Crashes seemed totally random although I was usually able to play for an hour or two before it happened, so it wasn't too bad. But sometimes they could crash shortly after launch as well, no rule at all. In case of the original it seemed to be getting worse in later levels. I highly recommend saving often.

Infinite - mostly flawless after some work. At first I couldn't make it run in proper full screen - my desktop's taskbar simply wouldn't hide which also caused keyboard input being not recognized in game. Enabling virtual desktop in winecfg fixed it. Then there was crackling sound out of the box. Launching the game with PULSE_LATENCY_MSEC=150 variable mostly fixed that, but it still could start crackling during longer sessions, which would get progressively worse and then only restart would help. Especially using the kinetoscope machines seemed to be a risk factor that could break sound after watching few of those. I think I had one crash near the very beginning (which could be also related to sound breaking issue) but then nothing during the entire game and both DLCs.