Well, I also think ambient music is great, I find it very useful when I need to concentrate and work on something. Though I use an app called Radiotracker if I need to record music from internet radio stations.Has a huge database of internet stations and u can always add new ones if you find something interesting, plus it saves the recordings as mp3 files.This tutorial should also be helpful:
http://audials.com/en/how_to_record_stream_capture_music_videos_movies_from/internet_radios.html