I've yet to try running anything in WINE since I find it so confusing! Really missing Foobar2000 though and I've got a bunch of other Win only games so I guess I'll have to try it.
There is nothing difficult, really. Just install WINE (using package manager would be the smpliest method), go to the game (or game installer) directory in the console (or open the console from your file manager in that directory) and type:
$ wine Fallout2.exe
That's it. :-)
For maximum compatibility you can ensure 32bit mode by using a variable:
$ env WINEARCH='win32' wine Fallout2.exe
Or even make custom "prefix" (dedicated directory containing application-tailored "fake-Windows" copy with additional DLL-s and settings) by using something like this:
$ env WINEPREFIX=/home/<username>/WINE_FOR_FALLOUT2/ WINEARCH='win32' wine Fallout2.exe
Needless to say, said "/home/<username>/WINE_FOR_FALLOUT2/" directory should exist.
What is really funny, though, is that the game itself is not obliged to be placed in there. :-) From WINE's perspective everything inside that directory is treated like contents of disks "C:", "D:" etc., while everything outside it (by default) is still accessible through "Z:" disk containing pretty much all filesystem starting from root ("/"). Thus, WINE should never be used as "sandbox" for viruses -- a Windows program running with WINE is still able to access all Linux filesystem.
That's for starters. You can create a "*.desktop" shortcut to launch the game without console right from your desktop.
On the second thought, no you won't be able to play vanilla F2 out of the box. There are several reasons:
1) F2 is an old game. It forces your desktop resolution to 800x600 and WINE will change it. But after it will crash (see below), WINE won't revert it back so you will be left with an interesting minigame "Try to Restore Desktop Resolution While None of the Windows Fit Into Screen". :-) Alt+LEFT_MOUSE_GRAB is your friend (just in case);
2) F2 is an old game. It requires 8bit color mode and (last I've checked) WINE is not able to change color depth. Thus, the game will crash.
Given all of this, A Hi-Res Patch with switching to DX8 mode is in order. And, probably, "sfall" as well. But I believe this is basic knowledge for any modern "Fallout 2" player. :D
Also, WINE virtual desktop (see "$ wine winecfg.exe") might come in handy.