The submission link's github page [1] links to a website listing all the tracks that ever played [2], explaining they dropped the music from the project so as not to deal with copyright claims. too bad fair use isn't clear enough to apply here, I think its a relatively transformative use and doesn't compete with the original.
[0] https://hackaday.io/project/178144-reverse-engineering-the-w...
https://archive.org/details/WeatherChannelMusic
https://archive.org/details/weatherscancompletecollection
https://archive.org/details/lfset1
https://archive.org/details/the-weather-channel-presents-the...
https://archive.org/details/the-weather-channel-presents-smo...
https://archive.org/details/weatherscanlocalmusic
YouTube has a few TWC playlists:
https://www.youtube.com/playlist?list=PLMUZjd023YBtp0iB962Uz...
https://www.youtube.com/watch?v=hYyTo0ex76Q&list=PL2UoJXK3rr...
https://www.youtube.com/watch?v=wmGd-cx-dXc
It’s on Twitch:
https://m.twitch.tv/retroweatherchannel?desktop-redirect=tru...
There’s a nice Spotify playlist:
https://open.spotify.com/playlist/0WEViIh23PGbLqGbjYNAZz
And the site dedicated to it mentioned earlier in the thread has some recordings:
Which has its own sort of funny subculture. One is Phish fans unexpectedly hearing what was decidedly not publicly common music being aired on the Weather Channel: https://jambands.com/features/2002/07/24/guyute-and-your-loc...
Fast forward 20ish years and a similar thing happened with Fox Sports interludes: https://www.si.com/nfl/2020/12/17/fox-producer-who-got-the-n...