Any budget airlines from Lima?
The budget airlines in Peru are Peruvian Airlines (peruvian.pe), Star Peru (starperu.com), and LCPeru (lcperu.com).
You can find plenty of affordable flights through those airlines, but keep in mind that delays and cancellations are common. Plan plenty of buffer time into your itinerary.
The most reliable (and expensive) airline is LATAM (latam.com). Use them if you don't have flexibility in your schedule because they will get you where you need to go.