If you plan traveling to Cyprus soon, I think the information below can prove helpful:

There are several markets around Cyprus that are open every weekend, although the outdoor markets are subject to weather conditions during the winter months.
Cyprus indoor and outdoor markets and car boot sales are very popular. You will find locals and visitors enjoying the vibrant colours and smells from the fruit and vegetable markets, as well as bargain hunters galore at every stall of the other markets that sell a variety of goods.
Here’s a list of some of the regular markets in Cyprus that are well worth a visit: -
Open Air Fruit & Vegetable Market
Every Saturday this colourful open air market is held in the Old Municipal Square of Nicosia.

Car Boot Sale
Car boot sale every Saturday, held at the Municipal Car Park in Pervolia, from 8.30am till 2.30pm.
Sunday Market / Car Boot Fair
Every Sunday in Oroklini, just off the Oroklini exit from the highway, from 8am till 2pm, there is a general market and car boot sale with covered stall pitches.

Linopetra Corner Car Boot Sale
Every Saturday there is a car boot sale from 8am till 2pm. Various stalls including fruit and vegetables.
Fasouri Flea Market
Large indoor and outdoor flea market located in Asomatos village just outside the centre of Limassol. Wide variety of stalls including hot / cold food and drinks and children’s play area. Open Saturdays and Sundays from 9am to 7pm.
Limassol Sunday Market
Every Sunday an open air market is held on the seafront just 2 minutes from St Catherine’s Catholic Church. Many stalls selling a variety of goods, from 7am to 5pm.

La Fontaine Market
Every Saturday and Sunday an indoor/ outdoor market is held from 8am till 5pm.

Sunday Open Air Market
Every Sunday at Timi Village, open from 8am till 1pm.
Latin Parish Market
Every Sunday there is a Traders & car boot market from 9am till 3pm at the Latin Parish Hall on Tomb of the Kings Road.
Duck pond Market
Every Sunday there is an Indoor/outdoor market and car boot sale from 8am till 2pm. Cafe serving hot and cold snacks on site. Located just off Tombs of the Kings Road in Chloraka.
Ayia Napa
Vrisaki Tavern
Every Saturday, charity stalls open from 10am till 2pm with unusual things to buy.

Liopetri Saturday Market
Every Saturday from 9am till 1pm. Located on Sotira Road. Various stall including fruit and vegetables.