Does anyone have any recommendations?
Well then how exactly would you go about removing the SFX (and voices)? I know there isn’t a solid fix to that which will work for everything in existence but there also doesn’t seem to be any general consensus either. I’ve tried it myself and didn’t really know where to begin, so naturally I go to look it up and find nothing, no guides or even tips on how to do it properly. I guess if you’re already an audio guy who knows their way around Audacity and everything then it’s a piece of cake, but to people like me who want to try but don’t know the process, it’s very frustrating.
If you’re interested in doing anywhere near a good job you’ll also need to pay attention to what effects are mixed in the fronts but not the rears. Sometimes you can remove a portion of the fronts and get the music (relatively) clean in the back, or vice versa. Use the envelope tool to smooth out the volume. Be prepared to make some editorial decisions. Get ready to sink a lot of hours into something that might not turn out the way you want it to.
Apart from that I’m not sure what I can say that could make the whole thing easier for you. I’ve been doing this sort of thing (with mixed results) for quite a few years now and I’m still figuring out little tricks I can do to bring out the best track I can (even if it doesn’t 100% mirror how the music is edited). It’s one of those things where you have to do a lot of hands-on to be able to produce something worthwhile to both yourself and others. Sometimes the re-recording mixer will cut you a break and leave the music isolated in the rears or something for a large chunk of the film’s runtime, but it’s rare.
Generally I’ve found that the lower-budget stuff (cartoons, direct-to-DVD movies, tv shows, etc.) will be the material that has the most potential for "ripping" music cleanly.