TuneIn - record radio stations on Apple iPhone, iPad, iPod Touch

TuneIn allows to listen to and record over 50,000 radio stations including thousands of AM/FM local stations on your iPhone, iPod touch or iPad with TuneIn Radio!

TuneIn offers:

local radio
both station and show listings
music, talk and sports
on-demand podcasts
radio filters that work with your computer, location, and the time of day
recommendations for similar programs and stations based on your likes
detailed station information including their rating, slogan, logo, network, etc.
much more!

Note that it's not possible to export recordings to a PC. In order to be compliant with Apple's Terms of Service, TuneIn is unable to make recordings accessible outside of the application.