I listen to lots of podcasts and the radio whilst browsing and whilst working in Firefox. It would be pretty cool to have a built in podcast/radio player that I could interact with, all in the same tab that I am working in. It could also be something that makes Firefox unique to other browsers. Not sure if it could work on mobile, but that would interest me too if it was possible.
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There are actually a few extensions available for this:
Personally I think that's best left to other, more suitable apps (AntennaPod is great).
FF can already play background audio (eg from a podcast website) which is amazing, but it's pretty basic and a bit temperamental (I often just get a white, almost empty notification).