I'm listening to Italian music for the lyrics first and then for the music itself. I'll make a short list of my favorites
Toto Cutugno - Il sognatore
Zucchero - Il volo and E delicato
Vasco Rossi - Senza parole
Tiziano Ferro - Imbranato
I Pooh - Uomini soli
Amadeo Minghi - I ricordi del cuore
Patty Pravo - Pazza idea
Gianno Nannini - Io
Eros Ramazzotti - everything, but especially "TI sposero perche" and "Solarita"
Of course there are many many beautiful Italian songs, i've named only few of them. As you probably know Italian music means: Adriano Celentano, Toto Cutugno, Vasco Rossi, Eros Ramazzotti, Zucchero, Laura Pausini, Fabrizio De Andre, Andrea Bocelli, Nek, Tiziano Ferro and others. But in my opinion the most beautiful songs are old ones...I hope i've given you some idea and that you'll like at least a little bit my suggestions

Enjoy!