
So let's recap:
SDL 1.2.12 or later
SDL_mixer latest version and all DLLs it ships with (mainly for ogg and mp3 support)
SDL_net latest version
snes_spc DLL from the snes_spc subproject, if HAVE_SPCLIB was defined when you compiled anyway
base hierarchy
If EE doesn't run with all of these things visible to it, then please post any and all error messages you are receiving. Something else is clearly wrong if that is the case.
Also please be aware that to create a distributable EXE you'll need to be sure to compile the Release (vs debug) build. Debug depends on the MSVCRTD.dll file and in my experience, this file is not present on systems that do not have MSVC++ installed.