Site in Italian:
Collection of several sounds from the space:
http://scis.uai.it/blindsight.htm
An history of the universe in Sound:
http://www.ted.com/talks/honor_harger_a_history_of_the_universe_in_sound.html
http://chandra.harvard.edu/press/03_releases/press_090903.html (http://chandra.harvard.edu/press/03_releases/press_090903.html)
Radio astronomy
http://www.radio-astronomy.net/
The Northern Lights.
http://www-pw.physics.uiowa.edu/mcgreevy/ (http://www-pw.physics.uiowa.edu/mcgreevy/)
NASA space sounds.
http://www.jpl.nasa.gov/multimedia/sounds2/index-nasa.html (http://www.jpl.nasa.gov/multimedia/sounds2/index-nasa.html)
http://www.auroralchorus.com/
and all his CDs/recordings are recommended.
You have to remember that most of the "space sounds" are not originally sounds in the human acoustic sense (pressure waves between 20 Hz - 20 kHz). They are either electromagnetic signals that are converted to the "acoustic range" or extremely low frequency pressure waves (Chandra), many many orders of magnitude lower than our limit of hearing.
But there are also some acoustic recordings that have been made during space missions. For example, here is a recording made during the Cassini-Huygens descent to Titan (first file on the page):
http://www.esa.int/esaMI/Cassini-Huygens/SEM85Q71Y3E_0.html (http://www.esa.int/esaMI/Cassini-Huygens/SEM85Q71Y3E_0.html)