For you, I just installed and ran on wine the version from Humble that I downloaded some time ago. Version 1.2.1. Played it for about 10-15 minutes with no obvious issues, so I think it probably works just fine. But, like others noted, Humble has a DRM-free Linux version too so you don't need wine.

Oh, it didn't initially start up, but that's because I normally have the SDL_AUDIODRIVER=alsa environment variable set and theres no alsa in windows. I've ran into that before so once I noticed the game is built on SDL I knew to unset it.

Sad to hear that Waking Mars is yet another game where the Linux version is missing on GOG. :( No wonder the game has no entry on WineHQ when there's a native Linux version available (elsewhere). Thank you for trying it out for me on Wine! :) I'm not sure though if I will buy it and hope the Linux version gets added later as GOG probably won't tell us why the Linux version is missing. And there are already too many games with missing Linux versions here.

Maybe if you press them long enough they might find the time to add it. Otherwise the best way is to contact the developer about it. Since there's already a DRM-Free build on HB it shouldn't be too hard to get here,

On a side note: GOG finally added the Linux version for Fez.

Well, both Bastion and Fez got their Linux versions added as of late. One can never lose hope...

Game: Rollercoaster Tycoon 3: Platinum!
Installer MD5: 0efb0a51c9edba3699e657d929c88d4f setup_rollercoaster_tycoon3_2.1.0.16.exe
WineHQ AppDB link: https://appdb.winehq.org/objectManager.php?sClass=application&iId=2600
CodeWeavers link: https://www.codeweavers.com/compatibility/crossover/rollercoaster-tycoon-3

Distro: Linux Mint 18.3 Cinnamon 64-bit
Kernel version: 4.13.0-32
Graphics card: AMD RX 480 8GB
Graphics driver & version: Open source, with Mesa 17.3.2 from Padoka's stable Mesa PPA
Wine version(s) tested: Wine 3.0 (with CSMT enabled)

Install notes: For music & intro videos to work this requires devenum, quartz and wmp9
In addition you need to get a native version of qedit.dll (this can be acquired from dxnt.cab in the DirectX feb2010 installer - directx_feb2010_redist.exe) and place it inside the prefix under c:\windows\system32\ then add an override for qedit (native, builtin) - if using CrossOver then you only need to add the override.

Run the game from/create a shortcut for "RCT3plus.exe"
How well does it run: Perfect
Details: Have played through some of the tutorials and played for a while in both sandbox and career mode - all appears to work fine and it runs great.

Widescreen support:
I found it necessary to set the display resolution manually as per the details on WSGF: Wine wrapper
I have put together a Linux Wine wrapper for this game. For more information, see the release thread in the game's forum: https://www.gog.com/forum/rollercoaster_tycoon_series/rollercoaster_tycoon_3_for_linux

Game: Way of the Red
Installer MD5: f08f7e886a33f2b71f82c154c91ef978 setup_way_of_the_red_2.0.0.2.exe
WineHQ AppDB link: Soon
CodeWeavers link: None
Distro: Ubuntu Mate 16.04 64-bit
Kernel version: 4.4.0-45-generic x86_64
Graphics card: Nvidia GeForce GT 240
Graphics driver & version: Proprietary 304.131
Wine version(s) tested: Wine 1.9.22 via PlayOnLinux,

Install notes: Install & play. Needs DX9 installed
If using PlayOnLinux, start the game from/create shortcut for "BFSCALEexe"
How well does it run: pretty well, only played a bit, but couldn't get it to get my xbox360 controller to work :(
Youtube Video https://youtu.be/VGpIXxDTLqE (no sound, recorder didn't record any)

I noticed that GOG got Wine wrapped Linux release of Two Worlds. I just managed to run winecfg from there, to see what overrides were used (a whole bunch!). I'll try installing Two Worlds in regular Wine with POL, and will try to reproduce those overrides. I'll write back here how it works.

This is about Darksiders 2 Deathinitive Edition. Just followed this guide and added the latest wine-stagging 1.9.23. Runs perfectly so far. No graphics bugs and great fps.
Linux Mint 18 64 bits. GTX 650
http://www.gamersonlinux.com/forum/threads/darksiders-2-guide.1840/

Apparently WINE 1.9.23 has fixed the 3D graphics bug with Xanadu Next. I'm downloading the game right now and will report back soon (if anyone hasn't yet).

Edit: Well, I'm dumb. I clearly let my excitement get the better of me. It turns out the bug was an issue with 3D models that was fixed in staging. The rainbow textures bug has not been fixed, and according to the AppDB isn't even listed as confirmed yet.

I'm really hoping there's some kind of fix or workaround I can use. I'd really like to get this game working.

Game: Falcon 4.0
Installer MD5: 9a9fff4394999b4a04642a47427f3c06 setup_falcon_4_2.0.0.1.exe
WineHQ AppDB link: (none)
CodeWeavers link: (none)

Distro: Linux Mint 18 Cinnamon 64-bit
Kernel version: 4.4.0-47
Graphics card: Nvidia GeForce GTX 750Ti
Graphics driver & version: Proprietary 375.20
Wine version(s) tested: Wine Staging 1.9.23 via PlayOnLinux, CrossOver 15.3.1

Install notes: Install & play.
If using PlayOnLinux, start the game from/create shortcut for "falcon4.exe"
How well does it run: Very well
Details: Have only had a quick look at this but it seems to run very well, except that the intro video doesn't play properly (sound but no video). Tested with virtual desktop and CSMT enabled.

Falcon BMS mod/update:
There is a community maintained mod/update called "Falcon BMS" which features a lot of improvements. I haven't tested this myself but according to the WineHQ reports it looks like it should run well.

Find out more at https://www.bmsforum.org/

Everything I've read or seen suggested says you should try it. Haven't picked up the collection yet myself as I'm sure I wouldn't have played it yet.

Sidenote: I despise the new AppDB layout.
Yeah, two different bugs as you realized. Judas needs to get off his butt and get some help to debug the issue (#winehackers or something). Believe the extent it has been debugged so far is it's a D3D8 game?

For me Two Worlds runs quite well out of the box. The only tweak I had to apply was strictdrawordering=enabled to fix the landscape rendering. There are still a few occasional rendering glitches left, but nothing to worry about. I've already played the game for more than 120 hours and the only problem I run into were a few crashes in very long playing sessions (after 10+ hours as far as I remember). But they were not really a problem as the game auto-saves every 5 minutes.

I had various issues with it, including intro videos not working. The list of overrides is quite useful to figure out what's missing in the stock Wine.