In Lima a wide variety of newspapers is published. Around every corner you find a kiosk selling numerous dailies, well respected and reputable ones as well as lots of yellow press publications. Most newspapers have their own web page. Here you can either read the latest news or flick through a digital version of the latest edition. All Peruvian dailies are of course written in Spanish. For Peruvian news in English check out established web sites.
In case you are homesick and would like to read a newspaper from back home, go to the Ovalo in Miraflores. Here street vendors sell quite expensive and a few days old papers from the US and Europe. Or have a look at Zeta bookstores either on Av. Espinar block 2 or Larcomar both in Miraflores. They sell foreign newspapers and magazines.