Foobar2000 on linux
There are lots of audio players on Linux that are similar to Foobar. You might like Amarok or Songbird.
However to get Foobar2000 running under wine, it looks like all you need to do is use winetricks to install needed fonts. This forum has instructions.
deadbeef is a nice little clone of foobar2000 for linux. Its got a very similar UI, and its own, admittedly limited plugin system - you can get plugins here here and installation instructions for those here.) It does have the clean, basic layout I'm used to.
Amarok is the closest I found to Foobar on Linux.
There's nothing that can use Foobar plugins that I know of.
I haven't run it under Wine personally but people have reported it seems to work pretty well.