There is evidence that bottlenose dolphins, some apes, and elephants may have the capacity to be self-aware

....Recent studies from the Goethe University Frankfurt show that magpies may also possess self-awareness.

Common speculation suggests that some other animals may be self-aware....

Source: Self awareness in animals
Author: Wikipedia

Link: Animal rights and human wrongs
Link: Octopuses Gain Consciousness (According to Scientists’ Declaration)