Peña means a restaurant-bar dedicated to creole party music, too. Some of the best and most tourist-friendly ones are Peña del Carajo and De Rompe y Raja, both located in Barranco; other option in the same district, but more oriented to Latin music, Reggae and Indie/Alternative would be La Noche, with good drinks and entreés to go with.
Nowadays, Huaringas Bar seems to be "The Place," so you may want to give it a try and enjoy their pisco-based drinks.
But if are more in the mood for Peruvian dances, Brisas del Titicaca offers unforgettable Andean music shows, alternated with Latin music for your dancing; other option is El Parquetito, a bit more focused in creole music from the coast.
Another place to see popular, modern Peruvian music is the Gran Parque de Lima, that sometimes hosts big concerts and festivals with the most contemporary and popular interpreters in Peru.
Other recommendable places would be El Ekeko, Jazz Zone and Tayta (see our listings).
Manuel Segura 127
Av. Bolognesi 307
Avenida Garcilazo de la Vega s/n