In Larnaca you can find four monuments. One of them is the famous Choirokoitia settlement and another the Kition site.
Visit the famous Amathus Archaelogical site, the Kourion site or the Kolossi Castle of Limassol.
If you are in Nicosia then you can visit the Tamassos Royal Tombs at Politiko village.
If you are walking in the harbour area of Kato Paphos then you will sea the Paphos Medieval Fort. Only 5 minutes from the harbour you can visit the Tombs of the Kings that date back to the 4th century BC.