A feature built into ZSNES allows you to rip the music from your fravorite Super Nintendo Roms into 'SPC' files.  These files can then be played back for hours of musical enjoyment.  Two playes which can play back the SNES SPC files are SPCEMU and WinSPC.  SPCEMU is written by the same people who bring you ZSNES.   SPCEMU is for DOS, though this does not mean it has to be accessed from the MS-DOS Prompt.  You can download a front-end for it, or under Windows95 associate SPCEMU to play files with the SPC extension, then all you have to do is double click the file.   WinSPC which is baised on the SNES9X sound engine is also another good player, this is  for Windows, instead of DOS, so this could make things easier for you.  I find both of them to be good players.

Bastard!
Title Music
Character Select Music
Pond Music

Battle Cars
Battle Cars Main Theme

Columns!
Title Music
Level Music

Final Fantasy II/IV
Prelude
Prologue
The Red Wings
Kingdom Baron
Cid's Theme
Overworld Music
Cave Mist
Theme of Love
Cry in Sorrow
Ryida's Theme
Battle Song
Boss Battle
Fiend Battle
Victory Dance
Welcome to our Town
Danger Zone
Oh, Crap
The Layer of Golbez
Golbez - Clad in the Dark
Castle Faboul
Castle Toria
Damcyan
Mysidia
The Future Awaits
Dance Theme
Mystic Dance
Theme of Parom & Palom
The Encounter
Melody of the Lute
Mt. Hobs, Mt. Ordeals
Leviathan of the Sea
The Enterprise!
Chocobo Forest
Chocobo Chocobo
Chocobo Rap
The Big Chocobo
Underworld Theme
Giott, the Great King
Tower of Bab-il
Cave of Summoned Monsters
The Big Whale Introduced
The Big Whale
Welcome to the Moon
Within the Giant of Bab-il
Fanfare
My Son
Epilogue
The Moon - Theme of Love - Wedding Theme
Battle Against Zeromus - We Can't Loose the Final Fight
Final Fantasy II Ending Credits

Final Fight 2
Character Select Music

F-Zero
F-Zero Main Theme
Scores Music

Mega Man VII
Main Theme

Mega Man X
Main Theme

Pretty Soldier Sailor Moon (Fighter)
Title Music (Moonlight Densetsu)
Character Music

Pretty Soldier Sailor Moon R (Fighter)
Title Music (Moonlight Densetsu)
Story Music

Pretty Soldier Sailor Moon S (Battle)
Title Music (Moonlight Densetsu)
Story Music
Character Select Music
Crystal Tokyo Music

Super Bomber Man
Super Bomber Man Title Theme
Super Bomber Man Theme (Piano)

Super Bomber Man II
Super Bomber Man II Title Theme
Space Ship Introduction

Super Bomber Man III
Super Bomber Man III Title Theme
Super Bomber Man Theme

Super Bomber Man IV
Opening Sequence
Super Bomber Man IV Title Music

Super Bomber Man V
"By Hudson"
Opening Sequence
Super Bomber Man V Title Theme
Super Bomber Man Theme

Teenage Mutant Ninja Turtles 4 - Turtles in Time
Opening Sequence
Character Select
Bridge
Downtown
Sewer Surfun'
Dinosaur
Pirate
Train
Fortress
Highway
Star Base
Last Boss
Boss Music
Continue

Tetris & Dr. Mario
Title Music
Tetris 'A' Type Music