Here's how to record a radio station or show and play it offline.

Go to DAR.fm and select a show or station to record. You can record any show or station up to 5 hours long for free. This a DVR for radio type of service so your computer or phone doesn't need to be on when the broadcast is happening.

Then get the free app called RSS Radio and configure it to download recordings directly to your device. (See the Help section on DAR.fm for step by step configuration instructions. NOTE: By default recordings will be downloaded only when on wifi so as to not blow up the data limit on your phone.

Listen using RSS Radio on your own schedule rewinding/fast-forwarding as you wish like with a DVR.