There is a huge area of this that is being missed, i'm largly involved in Zoology at the University of Dundee / Scotland and i find this topic interesting.
Animals through a process of evolution display characteristics of intelligence based on circumstances they have had to live through, aswell as physical advantages which help display the intelligence of the animal.
Humans are undoubtably more intelligent at using communication than other primates and using there hands to manipulate external objects, which creatures such as dolphins cannot do. A wolf for example can very easily use teamwork to out perform humans and almost all other animals. some forms of social Ants are also a good non-mammilian example. Elephants and most Whales can process memory much more efficiently than any humans on earth. a salmon out-performs every form of navigation instrument known to man. Manufactuing mainframe computers and Terra-formed environments by us due to ignorance to the fact we also bomb for peace and murder each other for pleasure, which no other animal does outside all these primates which we admire.