I use iPlayer Radio to listen to BBC radio here in the UK. It is streamed live with only minimal delay from actual off air transmissions.
I don't think you have grasped it yet.
You don't need to use your headphone cable as an antenna. The Note 3 does not contain an FM receiver. Any radio stations you listen to on the phone through any of the apps are being streamed to your phone as data either via Wi-Fi or over your cellular network.
Most Apps that play radio will not play anything local to you. If you are in Bahrain and want to listen to the local stations breakfast show you might be out of luck.
Many stations have their own apps or allow you to stream through their web page so you might be lucky there.
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Bbc is great, I wish i could use it.
Actually I’m in Israel and after installing TUNEIN RADIO I get all the local stations I need , and more.
Sound quality is good , also the variety of stations and music styles.
I just thought I could use a none internet radio but looks it isn’t available for me so I’ll have to live with it
Thanks all for your help.