ITunes opens directly to music, not the store

iTunes loads the most recent view on startup. Selecting anything other than iTunes Store or Ping in the left sidebar before closing iTunes means that the store will not load on startup. The store will then first load when you select iTunes Store or Ping.

I tried both streams like you did and at first I received the same results you did. BBC Radio 6 showed up in the music but The Current didn't appear to.

Then, I tried typing "The Current" into the iTunes search box while Music was selected in the sidebar. The result: The Current from Minnesota Public Radio pops up as the first and only search result in the iTunes main menu.

What I believe it that because this radio listing contains a blank album and artist field, iTunes gets a bit confused but ends up placing them "somewhere" amongst your other entries with blank album and/or artists fields. It can appear to be lost there because there doesn't appear to be any particular order those entries are sorted by-default. (I am almost certain you can do something about that if you really wanted.)

IF you are still interested in seeing your music with those streams, I would recommend just creating a smart playlist that excludes them. Try this a the rule to use in the smart playlist (Cmd-Opt-N to bring up its dialog, btw):

"(Kind) (is not) (Internet audio stream)"

Hope this was helpful.

-b