"Two households, both alike in dignity, in fair Verona, where we lay our scene..." begins Romeo and Juliet.   Shakespeare never went to Verona, and "Juliet's Balcony" is pretty much a tourist scam, but romance is still alive in Verona, the second largest city in Veneto, which inspired the great romantic tragedy.   Verona also has great Roman ruins, including an amphitheater ("la Arena") where open-air opera is staged in the summer.  See this Rick Steves article and TV show clip for a nice introduction to the town.

Verona is also a great launching point to the Dolomites...trains run to  Bolzano and Ponte Gardena regularly

Where to Eat