The Puerto Rican Amazon (Amazona vittata), also known as the Puerto Rican Parrot or Iguaca, is the only bird endemic to the archipelago of Puerto Rico belonging to the Neotropical genus Amazona. The species is the only remaining native parrot in Puerto Rico and has been listed as critically endangered by the World Conservation Union since 1994. Once widespread and abundant, the population declined drastically in the 19th and early 20th centuries with the removal of most of its native habitat; the species completely vanished from Vieques and Mona Island, nearby to the main island of Puerto Rico. Conservation efforts commenced in 1968 to save the bird from extinction. In 2006, the total estimated population was 34 to 40 individuals in the wild and 143 individuals in captivity.
They can only be seen in El Yunque Rainforest on the island of Puerto Rico.  You can use miles to get to Puerto Rico and stay in various hotels around the island.
They are one of the world’s rarest parrot species with only 60-70 in the wild, about 269 (2011) in captive breeding programme, for a total of 320+. See the Puerto Rican Parrot Project (Rio Abajo aviary) website for more details.
And finally a short video about them.