Convergent evolution is the development of similar characteristics in species that are not at all closely related.
Antifreeze fish
Fish living in the coldest waters of the world, north and south, have developed proteins that allow them to survive in these cold waters without their bodies freezing. Scientists have even discovered that the proteins of the fish in the north and south occur in different genetic sequences showing they both develped independently.
References
Rothman, M. (2001). Convergent evolution. Retrieved from http://www.pbs.org/wgbh/evolution/library/01/4/l_014_01.html