bagnaj97: it works perfectly if you take note of the following:
1. You must use the opengl renderer. After some fiddling I got direct3d working but it was slow.
2. I found oss sound to be better than alsa, but YMMV (change using winecfg)
3. Compiz must be disabled before playing. This is very important as direct3d wouldn't display anything except the hud and opengl had severe scaling issues (only top right of display shown over the whole screen). You can run the command "metacity --replace" to temporarily disable compiz, log out and in again to get compiz back.
This actually worked better for me than under vista x64 as under vista I couldn't get mouse control working.

jsims2359: Freespace 1 runs on Ubuntu 8.04 with wine 1.1.4, but the sound cuts out and exiting the game will force you to kill the X server with Ctrl-Alt-Backspace. Be advised.
UPDATE: The mouse is usable as a flight control, but just barely. There seems to be some disparity between the resolution of the game window and the resolution the mouse thinks is in effect. The effect is also noticeable in the hanger if you move your mouse pointer to the far right. You start to see some delay on both axises.

jmgreen7: Giants installed and started fine but the performance really tanked whenever the camera was facing a building/structure (like 5-10 FPS). Then I installed the GiantsHooks patch and the performance is now great. I haven't tested multiplayer.

jsims2359: is running as it should on Ubuntu 8.04 with wine 1.1.4.
NOTE: You must emulate a virtual desktop in order for Direct X to be detected correctly which allows you launch the game. Also, the sensitivity of the x axis while using mouse control (with the helicopters) seems to fluctuate randomly from near perfect control to frustratingly unresponsive. Mouse works fine everywhere else.

danebramage: installs and runs fine (there's no cursor on the main menu screen, but since it can be navigated with the arrow keys, that's no big deal).

danebramage: installs and runs fine (since it runs in DOSBox, it works best in a window where the top of the screen isn't cut off by the DOSBox window's title bar--hit Alt-Enter to go into windowed mode).

danebramage: installs fine but wouldn't run for me the one time I tried. No big loss, as M.A.X. 2 sux and it comes bundled free with the original M.A.X.

Dash: works great under WINE, all except for the video. It's not bad though. It stretched the video out to the point where some of the game was off screen in the Y directions. A change of options to the display of games in a window fixed it.

FALK: Original War is somewhat playable, but with bad graphics in hud, wouldn't recommend it. Unable to run in VirtualBox because it cant detect the graphics card memory correctly. Maybe it works in vmware.

fangbite: Perimeter installed and ran fine. The only thing which might be considered a glitch is that the game just took over a piece of my desktop in the top left corner, carving out a number of pixels according to its resolution.

FALK: Runs great in wine 1.1.4 except the cursor is invisible, can be fixed by building and using wine-hacks: http://repo.or.cz/w/wine/hacks.git . I hope the patch enters mainline soon, but the bug has been known for almost a year.

jmgreen7: Sacrifice installed and ran without a hitch and runs great. I haven't tested multiplayer.

chris20636: In Fedora 8, the game would play fine for a 15-30 minutes and then the sound would go to a loud hiss. Some google searches seems to pinpoint the problem to the new X windows sound server in Fedora 8 and up called pulseaudio. I removed the pulseaudio packages from my system using yum. I rebooted and after playing with the volume control some, I got sound back which should be pure ALSA system. So far, that seems to have fixed the sound problem.
I didn't notice the mouse issue some have had under XP. However, I did notice it under Linux. The fix was the same though. Just don't use the mouse and hit ESC to get past the movie to the main menu. Then using the mouse at the menu and in the game works fine.

Verdan: Oddworld: Strangers Wrath
Works really well, even though there wasn't an install script. The games has to be started through the launcher, since the main exe fails for some reason. In-game seems to work perfectly (haven't played through the game yet, I've got quite a backlog...), the menus and tutorial texts have a bit of a laggy effect, but that's no big problem.

Fenixp: Have you actually done something to make it run? It runs great on my wine, but ... Mouse just isn't working, not at all. It seems like the game didn't even detect it.

edit: and yeah, I've tried different versions of Wine, force-capturing the mouse, windowed mode and virtual desktop.

Fenixp: So, is there an easy way to get the new GOG installer working with Wine properly? Also, keep in mind I'm a newb.

ZikZak: I do not know if it already posted somewhere in gog.com's forum but you can use this software under GNU/Linux:
http://www.gogonlinux.com/

outcast1: Got Racedriver GRID running with WINE 1.5.31 on Ubuntu 12.04 64 Bit. Crashes every now and then and is somewhat sluggish. After I switched almost everything off/low, it was playable. So if you can live with occasional crashes - go for it! :-)