Cancer seems to affect all animals, from anteaters to zebras. Much less is known about the cancers that affect wild animals for the obvous reasons (they move around and may not be easily observed for long periods of time). The cancers that have been studied are very interesting and may prove useful in the study of human cancer. As an example, Tasmanian devils have a type of cancer that can be spread from animal to animal by biting!
The links below provide information on specific types of cancer in wild animals.