With all the Roman ruins and Medieval edifices, not to mention Baroque Palazzi, that abound here, you might be tempted to think that the Veronese live only in the past. Not so, for they have a sharp sense of design and asthetics, and they appreciate modern art as well.
Two different palazzi- Palazzo della Gran Guardia in Piazza Bra and Palazzo Forti near the Duomo often host travelling exhibits of 20th and 21st century art. In order to see the event schedule and daily hours (which are somewhat erratic, so check ahead.) go to their website. Unlike the traditional museums, these are often open in the evenings, when they draw the greatest crowds.
Even if you don't like paintings and sculpture made after the 1800's, you may enjoy touring the galleries. The Renaissance/Baroque period edifices are monumental, and they've been lovingly restored with contemporary Italian design sense- i.e. minimalism of extraneous details and use of fine materials. Sometimes one may find an original baroque bas-relief juxtaposed with a modern exhibit, but that's all part of the fun.
Most tourists, or at least American ones, skip these museums. So this is your chance to experience culture with the Veronese. Wear black, look serious, and blurt out words like existential post-modern realism every now and then.