Hello again!
Thank you for your advice.
Here is the detailed procedure of how I get stuck when I try to run a game 'The Settlers: Rise of an Empire Gold Edition' with Steam for Windows.
1. Run Steam using POM.
2. Install and run the game.
3. Ask me to allow to change screen resolution, and I allow. (RandR mode)
4a. Screen goes black and there's no sound.
4b. Screen goes black and sounds seems to be played normal.
(either 4a or 4b happens randomly as I try, but mostly 4a happens)
5a. If I press any key, it beeps and nothing seems to work in any way.
5b. Pressing key seems to skip an opening movie of the game.
(4a is followed by 5a, and 4b is followed by 5b)
6. Press Cmd+Opt+A to restore the screen resolution.
7a. There is no game screen. Only Steam and POM are running. No mouse cursor.
7b. There is a letterboxed white blank screen.
(either 7a or 7b happens randomly as I try, but mostly 7a happens)
8. Press Cmd+Q to exit the game and Steam.
9. An error dialog box appears as I mentioned my second post.
I tried to capture the debugger log and here it is:
('run Steam -> run The Settlers -> quit' following all 'a courses' mentioned above)
[07/23/13 16:17:04] - Running wine-1.5.25 Steam.exe (Working directory : /Users/Jaewoong/Library/PlayOnMac/wineprefix/Steam/drive_c/Program Files/Steam)
[0723/161720:ERROR:network_change_notifier_win.cc(126)] WSALookupServiceBegin failed with: 8
[0723/161736:ERROR:network_change_notifier_win.cc(126)] WSALookupServiceBegin failed with: 8
[0723/161744:ERROR:network_change_notifier_win.cc(126)] WSALookupServiceBegin failed with: 8
X Error of failed request: BadWindow (invalid Window parameter)
Major opcode of failed request: 10 (X_UnmapWindow)
Resource id in failed request: 0x1200001
Serial number of failed request: 189
Current serial number in output stream: 192
I asked to install the XQuarts or X-something when installing POM, and I think the installation process was just good.
Maybe I need to try reinstalling POM after posting this.
Thank you and let me know if you need anything else I didn't write so far.