The Auditorium at Parco della Musica is a large complex composed of three separate halls whose shapes are inspired by musical instruments. These are positioned around an open air amphitheatre, that is used nearly every night in the summer for concerts. The Parco della Musica hosts a constant stream of classical, popular, and jazz music, featuring national as well as international musicians and groups. Really big names perform outdoors in the summer; usually in either the Olympic Stadium or in the Stadio Flaminio, which is next door to the Parco della Musica. In winter the Palalottomatica in EUR is an important pop concert venue.
To get full details of what is on, buy a copy of the La Repubblica newspaper on Thursdays, when it has an insert called TrovaRoma. There are a couple of pages in English but even with no Italian you should be able to decipher the main listings. This is not published in late July and August, when half of Rome heads to the beach. Both La Repubblica and Il Messaggero have daily listings.
Learn some authentic Italian cooking with local Italian chefs at their own homes. Learn from the locals themselves, eat great food, enjoy the company of new friends and see a different side of the city. BonAppetour is a great site to discover unique dining experiences in Rome.
Walk and feel the energy of Rome; sights are everywhere waiting to be discovered.