The test results you have selected are very old and may not represent the current state of Wine.
Selected Test Results (selected in 'Test Results' table below)
Playing the game, changing the settings, scoreboard.
What does not
Nothing that was tested.
What was not tested
The network mode wasn't tested. However, since it doesn't work on Windows, I assume it doesn't work here either.
As noted in the previous test entry, this program requires 16-bit desktop, so setting it up is rather tedious. For more information about how to do this, see:
http://wiki.winehq.org/256ColorMode (note that you need 16-bit, not 8-bit)
Tested with the Xephyr method. Fastest way to launch it is to open a console window in the program directory, then use:
Xephyr :1 -ac -screen 800x600x16 & DISPLAY=:1 wine Arcomage.exe
Also note that Arcomage is a windowed application (the menu bar is an integral part of the game), so even though its internal resolution is 640x480, you need to run a larger screen. 800x600 is a little bit too large, so you can experiment a bit with this.
Due to the extra X server emulation, the game is somewhat slower than normal, but still playable.