You might enjoy this fusion of Arab and Persian traditional music featuring Alireza Ghorbani and the Tunisian singer, Dorsaf Hamdani:

https://www.youtube.com/watch?v=azGh07lBAIg

...by the way, Alireza Ghorbani likes to set his songs to poems, so getting the lyrics is easy if you can track down the poem the song comes from (this one is Arghavan, by Hushang Ebtehaj):

https://www.youtube.com/watch?v=ZOWMZrj8BXY

Farhad, a legend of Iranian music, and a great source for listening practice because he sings quite slowly and very clearly:

https://www.youtube.com/watch?v=TXSFwWCB07c

Googoosh, another legend of Iranian music with very clear diction in her singing

https://www.youtube.com/watch?v=zET7JjM37B0

Some rock for you. What's convenient about this particular song is that the lyrics are in the Roman script in the video!

https://www.youtube.com/watch?v=bl8ufwd1M8s

Of course, listening to Kurdish music won't improve your Farsi, but to me Kurdish culture is such an important part of Iran that it can't be missed. Also their music has some very interesting rhythms you don't really find in Persian music.

https://www.youtube.com/watch?v=HGv310lNumU

Persian songs

Could you possibly introduce some good Persian songs? Thank you. ( This shape of formation that I used to describe your Idea sounds more natural and emphasises stronger feelings. 

Please tell the field of Musics you like to listen to, I mean the genre of music. But if you have meant Persian traditional music I could help you by giving some keywords to use them to find these songs which are surrounded all over the 'YouTube'. Please use these Keywords in YouTube : Hassan Kasai (حسن کسایی), Jalil Shahnaz (جلیل شهناز), Parviz yahaghi (پرویز یاحقی), Homayoun Khorram (همایون خرم), Mohammad Reza Shajariyan (محمد رضا شجریان),

 I hope you could regale the feast of listening to best musics of Persian musics by listening to them. :))