Is there some kind of sound recording program that would let me record something that's meant to be coming out of my speakers For example if I was playing a song from youtube and record that in good?

yes it is called clip converter. with clip converter you can download YouTube videos and other into mp3, for ipods ipads iphones and most phone, in mp4 which is a video format for Apple products and most phones so you can watch the video, and many other formats. it is free and you don't have to download any program. just go to clipconverter.cc and it will download the video in many formats completely free and all online.