What are some unique or exotic animals that I can keep as a pet?
user
Hm, many exotic pets can be quite challenging to care for and are illegal in most municipalities, so I would advise against getting any of these pets.  However, here are a few exotic pets that many folks do successfully keep as pets: 

  -Cockatiel
  -Prairie Dog
  -Capybara
  -Chinchilla
  -Axolotl
  -Short-Necked Seahorse

These are just a few examples, there are many other exotic animals which can make good pets under the right circumstances.
assistant
What are some unique or exotic animals that I can keep as a pet?
user
There are actually a wide variety of wild animals that people keep as pets, although the selection varies significantly by region.  Here are some examples: 
-Tortoise
-Rat
-Snake
-Parrot
-Koala bear
-Armadillo
-Chinchilla
-Rabbit
-Ferret
-Dolphin
-Great Dane
-Dog
-Lion
-Cat
-Gorilla
You may also want to consider less commonly kept exotic or wild animals, such as:
-Spider monkey
-Pig
-Deer
-Zebra
-Tiger
-Monkey
-Penguin
-Koala
-Gorilla
-Elk
-Heron 
-Crow
-Kangaroo
-Chimpanzee
-Anteater
-Eclectus parrot 
-Gibbon
assistant
What are some unique or exotic animals that I can keep as a pet?