For Cyprus generally (wildlife thankfully knows nothing of the political problems of the island) there are many interesting wildlife spectacles - my top five would be:
1) Lammergeier (bearded vulture) now alas no longer a permanent resident since donkey rescue and retirement homes were set up - but a rare visitor from Levant - the largest bird in the area with wingspan knocking on for 2.7 metres - also known as the bone vulture as it drops the long bones of large mammals to crack them open to get at the marrow.
2) Salt lake flamingo flocks overwintering at Akrotiri or Larnaca (numbers reduced in recent years owing to polution, airport development and other factors abroad)
3) Mouflon wild sheep in the Troodos (a few truly wild ones but very rarely seen, but there are fenced reserves where sightings are almost guaranteed)
4) Egyptian fruit bats (a rare visitor from Africa) in large numbers emerging from roosts or feeding on figs etc - have fox-like heads and large eyes.
5) Snorkelling - amazing sea-life including turtles in your're extremely lucky.
Happy wildlife watching...