Heck, magpies mimic. I swear I knew a magpie who could imitate the distant sound of children at recess.
http://theconversation.com/lyrebirds-mimicking-chainsaws-fact-or-lie-22529
Both. Lyrebirds don't do it in the wild, but a captive lyrebird did.
Evolutionists are not stumped by the peacock. Some Darwin quotes on the matter:
"...I remember well the time when the thought of the eye made me cold all over, but I have got over this stage of the complaint, and now small trifling particulars of structure often make me feel uncomfortable. The sight of a feather in a peacock's tail, whenever I gaze at it, makes me sick!" (Darwin to Asa Gray Apr. 3, 1860)
[Fifteen years later, Darwin wrote of the "black-shouldered peacock, the so-called Pavo nigripennis given in my 'Var. under Domest.;'...the variety is in many respects intermediate between the two known species." (Darwin to August Weismann Dec. 6, 1875) So, Darwin did not doubt that peacocks and their complex feathers had evolved. - ED.]
"For the life of me I cannot see any difficulty in natural selection producing the most exquisite structure, if such structure can be arrived at by gradation, and I know from experience how hard it is to name any structure towards which at least some gradations are not known." (Darwin to Charles Lyell Apr. 1860)
http://www.birdsofparadiseproject.org/