This is now the world's only divided capital and its essential to see both halves. It is wholly enclosed by Venetian walls but split in two.
The Republic of Cyprus side has the sort of shopping and restaurants one would expect from any fair sized European city and a collection of interesting monuments but the most unusual historical sites are in the north - in particular that main mosque, converted from a cathedral, and an old caranvanserai restored as a craft centre. The two halves are quite different, with traditional small shops and a complete absence of international chains in the north. To get a good view of it all, go up the tower above the Debenhams store on the Republic of Cyprus side. To cross, there is no exit check by the Republic of Cyprus but a passport must be shown when entering the Turkish Republic of North Cyprus. They will stamp a visa form which can be then used for repeated visits. This will be checked going back. Re-entering the Republic EU passport holders seem to get only a cursory check though you may be asked about goods bought in the north.
Although there is a very serious recession going on, the history and meeting local people is worthwhile visiting this special country and capital
It's the only divided city in the world yet both can be visited and have fun in shopping as well sightseeing trips.