Londonderry - Derry - Doire - Strokecity, with the walls, the cathedral, Guildhall and its square, the Bishops Palace, an amazing city well worth visiting for a weekend or as part of a trip taking in the north coast, giants causeway, carrick-a-rede, maybe into Donegal for a few days, Benone strand etc
Hong Kong, a trip on the Star Ferry should be on everyones bucket list
Lisbon, the views from the castle on the hill are amazing, though there is a lot of poverty in the city
Galway is another treasure in the Emerald isle not on the mainstream tourist trail
Barca, some superb architecture and the new harbour built for the olympics is a wonderful place to while away an hour or two over a leisurely lunch
As a footnote, Belfast looks wonderful in my rear view mirror every friday afternoon.