Ica is in the middle of Peru's wineland and it is here that the famous Pisco is made, made infamous by Pisco Sour. Some wineries can be visited and make a nice excursion.

The Museo Regional has some nice mummies, ceramics and skulls from the Paracas, Nazca and Inca cultures, though as usual, the really good stuff has been shipped of to Lima

There are some nice sand dunes near by.

Ancash
Arequipa
Cajamarca
Chachapoyas
Chan Chan
Chiclayo
Cuzco
Huancayo
Huanuco
Huaraz
Ica
Iquitos
Lake titicaca area
Lambayeque
Lima
Machu Picchu
Manu national park
Nazca
Pacasmayo
Paracas
Pisco
Piura
Pucallpa
Surco
Tambopata