In the U.A.E. there is a Greek Orthodox Church which operates under the supervision of the Metropolis of Baghdad, Kuwait and the Arabian Peninsula. The above mentioned Metropolis is under the jurisdiction of the Patriarchate of Antioch. In Abu Dhabi operates the Greek Orthodox Church of St. Nicholas (officiates the Syrian Archimandrite Tony) and in Dubai the Church of the Annunciation (officiates the Syrian priest Mr. Barnabas).
In the U.A.E there are not organised Greek or Cypriot communities. However, there are groups on Facebook for the Greek and Cypriots that are living in Abu Dhabi and in Dubai via which gatherings and events are scheduled quite often:
Emirates Greeks Forum
Greeks in Abu Dhabi and Dubai
Greeks & Cypriots in Dubai