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There is one radio module for XOOPS called xp-radio at XOOPS France
http://www.xoops-modules.com/modules/mydownloads/viewcat.php?cid=35
You need to register
As a matter of interest with XOOPS you are not restricted to having "modules" for this kind of thing. I did one using a custom block and html. Also, a lot of these modules have a "music start block" on the site. But users surf from page to page--so only a popup is really required. My custom radio block has a "popup" window only. Suits my purposes anyway.
You can also adapt it to play mp3, video, voice, etc
See this thread, perhaps you have seen it yourself if you were doing a "radio" search--might be useful for other users
https://xoops.org/modules/newbb/viewtopic.php?viewmode=flat&topic_id=5283&forum=10