the other similar dances are Karsilama (Karsilamades), Sirto (Syrtos), one we call Cifte telli (i dunno the GC name for it)
"The Zeybek dances come from western Turkey, near the Aegean Sea. Stemming from tales of heroism, the Zeybek style shows the pride, the confidence and the courage of the Western Anatolian people. They follow a slower but stronger beat. The word "Zeybek" refers to the protector of people and the dancers depict the confidence of such figures in these dances."
with the aegean coast of turkey being populated by greeks and turks sometime ago in history, its easy to see why the cultures are intertwined
I dont know if the following are similar to any GC dances but you can read and tell me
its taken from the site kmfolkdance.com
Traditional Turkish Cypriot folk dances can be divided into 5 categories: Karsilamas, Sirtos, Zeybeks, Ciftetellis & Arabiyes, and Topical Dances.
Karsilama
Karsilama means coming face to face in Turkish. It is danced by two or more dancers by coming face to face, among whom there exists a very good friendship. This causes a smiling mimic on the dancers' faces because of their happiness of enjoying together. There are separate women karsilamas and men karsilamas. In some karsilamas dancers use a handkerchief and dance by (each of them) holding one side of it. Some dancers might from time to time show their special talents like spinning, jumping, kneeling, or hitting their feet or legs or the ground with their hands in accordance with the rhythm of the music simultaneously with spinning or jumping or kneeling... Karsilamas are named with numbers. Karsilama 1, Karsilama 2, Karsilama 3, Karsilama 4, Women's Karsilama 3, Women's Karsilama 4, etc... And they are usually played and danced in the same ascending order as listed here.
Sirto
Sirtos are one of the most liked folk dances and music in Cyprus. Sirto comes from the Greek Syrtos. However, it is easy to also observe the Turkish motives in the ones used in Cyprus. Even Ottoman Sultans liked very much this Greek music form and composed songs in that form. The most popular non-anonymous example is the Hicaz Sirto of 32nd Ottoman Sultan Abdul Aziz, which is known in North Cyprus among Turkish Cypriots as Aziziye Sirto. Similarly it is known (played and danced) in the South Cyprus among Greek Cypriots as Aziziyes Syrtos. This is quite normal taking into consideration that the two communities lived together for a very long time in Cyprus history. In some parts of sirtos pairs of dancers hold a handkerchief from its two sides as in karsilamas. When one of the dancers starts making skillful movements the other stops dancing and keeps holding the handkerchief firmly so that his friend will not fall down. Seherli Sirtosu, Aziziye Sirto, Iskele Sirtosu, Azize, Kina Sirtosu, etc, are the most popular sirtos...
Zeybek
Zeybeks are relatively slow and have more swaggering attitude than other dances. They represent the determination, braveness and strength of the males. Zeybeks' origin is known to be Turkish. They have also been used by Greeks. Greek Cypriots call it "Zeybekikos" and Rhodos Greeks call it "Turkikos". They are very popular in Western and Central Anatolia. In zeybeks which have lyrics, the parts with lyrics are not danced. Cyprus Zeybeks are relatively faster. Abdal Zeybegi, Sarhos Zeybegi, Kibris Zeybegi, Iskele Zeybegi are the most popular zeybeks...
Ciftetelli and Arabiye
Ciftetellis and Arabiyes are free dance forms danced by females. Female dancers swing their heads, shake their shoulders and chests, swing their bellies and hips, etc, mostly to attract males. Some examples are Ciftetelli, Bahriye Ciftetellisi, Mevlana, Arabiye 1, Arabiye 2, etc...
Topical Dances
These are the dramatic dances with some themes from daily life or special events. They can be categorized into 5 groups according to their themes: animal motions and behaviors, daily and special human activities, male-female relations, nature facts and events, fights and battles with or without guns. Music of many of these dances contain lyrics. The significance of these lyrics is to strengthen the effect of the movements in the dances. These dances enable skillful dancers to illustrate interesting aspects of the corresponding themes. Orak, Kozan, Kartal, Topal, Degirmenci, Nisan, etc, are the most popular examples in this category...
Some examples Topical Dances:
Orak: Orak means sickle in Turkish. This dance is about harvesting time. Farmer men use their sickles to harvest. Their women also help them. The women give water (in jugs) to thirsty and tired men. Some of the men, when they become vigorous or when they want to show off, start to show their expertise in using their sickles. They throw up and catch their sickles repeatedly, use two sickles simultaneously for harvesting, etc...
Kozan: This is danced with a water jug in "henna nights" (a part of wedding ceremonies), after the bride's hand has been put henna. At the end of this dance which is danced by only females, the bride brakes the jug by throwing it to the ground. The broken jug symbolizes an everlasting happiness. Another belief is that the pieces of this broken jug (and the coins and sweets put a-priori inside the jug) which spread on the ground when the jug is broken symbolize fertility.
Kartal: Kartal means eagle in Turkish. This dance is about the struggle of an eagle not to let his prey be seized by other eagles.
Topal: Topal means lamed in Turkish. This dance is about the struggle of a lamed bridegroom candidate with his "would be" father-in-law who does not like him as a husband for his daughter even though he is also lamed.
I used to actually dance in a group at weddings, balls, festivals and so on...was a great time of my youth
Next year I will post my much improved version which I'll be doing for my wedding!
...but, hey were Cypriots! Who cares! If there's an opportunity to go, do some dancing, and have some fun, take it I say! (As I'm sure all Cypriots would say!) 
