venice
Well, agreed, Venice does have a certain "aroma", but it is so unique. The architecture, history, culture and food set it apart, as least for me (like BBQ, as you say). Harry's Bar, Burano Island, Murano Island, the Grand Canal, St. Marks, the Guggenheim Gallery, and the Doge's Palace all have an aura as well as the aroma. I could sit in Harry's Bar where Papa Hemingway sat for hours (and have).
Florence is my second favorite Italian city. The Duomo, Gates of Paradise, St. Croce's, and the Affizi Gallery are splendid. I just have not found the food there I have found in Venice.
You ALMOST make we want to try Ireland, but Morocco is my next destination after I finish Italy. I would go on a safari, but can't talk my wife into it.
Good travels - and give Venice another try.
Venice must be like BBQ (i.e. everybody has their preference) because it was our least favorite place that we visited in Italy. We thought it was overrated and it freaking stank when we were there (I assume because the building sewers flow to the canals). We liked Florence much better. There are better countries in Europe to visit, IMO. For example, my wife and I left Italy and were discussing what country to visit next. We went to Ireland a couple years ago and we left already planning the next visit there.