To the left are a list of emulators that are preferred for this system.  You can scroll down for more information on each one.

SNES9x - http://www.snes9x.com/

The most popular and most widely used SNES emulator.  Try this one first. Other downloads.

ZSNES - http://www.zsnes.com/

For those pesky games that SNES9x won't run, try this one.  ZSNES is also a very excellent emulator, just not as good as SNES9x.