See schedules & photos:

Vistadome Cuzco-Machu Picchu-Cuzco

Andean Express Cuzco-Puno-Cuzco

The Hiram Bingham Cuzco-Machu Picchu-Cuzco

NOTE:
Rail service between Arequipa and Juliaca
is available only for charter basis or
for groups of minimum 40 persons.
This service is not operating as of March 2003
as a regularly scheduled service.