Becoming an animagus is difficult, taking years, and a wizard/witch is able to turn into a specific form - it is not a general talent allowing one to become any animal.
Offically, all animagi have to register themselves with the Ministry of Magic, as transforming into an animal can be extremely dangerous; also, registering their specific markings allows the Ministry to track crimes committed in animal form, or wizards/witches who might use an animal form to escape justice. However, several unauthorised animagi have been mentioned in the series. These include: