VLC is good for playing videos, but I like having a library for music.
Have you tried Foobar?
It's geared more for audiophiles, but with the right bit of tweaking, it's great for all-purpose music cataloging too.
It plays any file type you can throw at it and the decoders are as good as you're going to find without playing megabucks. It also has I/O bypass if you have an external DAC (both ASIO and WASAPI), if you care about that sort of thing.
The layout is is fairly bare bones, but there is a lot to customize but has all the stander visual aids, including both VU and peak meters. And peak meters are awesome.
The CD ripper is a breeze also supports accuraterip--thought I don't know how well it's up-kept seeing most of its intended audience use EAC or dbPoweramp anyway.
It does have a library feature, but it's really basic out of the box. But there are plenty of different plugins to change the functionality to be more like iTunes or Winamp or whatever you live. Though the basic function is good enough for me--it's basically just a glorified directory tree of your Music folder (or whatever folder you keep your library in).
There are also a lot of both pre and post-processing options that go beyond what you expect from a normal music player. (Again, since it's aimed towards audiophiles.) But even its Replay Gain implantation is the best I've seen, both in terms of simplicity and transparency.
Most importantly though, it has a tiny footprint. Like freakishly small. Even with a bunch of plugins going, it used very few resources. Though I don't use any plugins these days (I used to have a bunch.), without them, you can hardly tell it's on. It usually runs at less than 10MB and only uses about 2% of the CPU--even with several playlists loaded, the EQ going, and two or three visuals.
And I've had it running perfectly in Arch with WINE, so I'm sure you could get it working in Minty too, as most of the music player options in Linux are less than desirable.
Oh, and of course, the most important thing is the app icon is a Roswell alien head. And all the icons are color-coded versions of it for the different file types. That alone is worth having it.