Is there an alternative to Shazam, but for OS X?

Solution 1:

An alternative is Tunatic. It has a handy little window with a sound visualizer:

Tunatic
Identifying song...
Once it identifies the song, it displays the name and artist: Tunatic found song
And takes you to a link where you can download it from iTunes or buy the ringtone version: Tunatic link

Solution 2:

Since your question stem from the fact that Shazam was only available on mobile platforms, today would be best to answer with this link and the news that Shazam has a desktop version for Mac OSX as well.