Bryan, I agree with the others about the islands in the lagoon, and also Padova. Verona is very nice, but considerably more distant and time-consuming. Also, I think Verona is a much better experience when a base for at least a couple nights, rather than a day trip.
About the islands, the central part of Murano is very commercial and focused on glass. If you can get into some of the semi-private galleries of the principal glass outlets, there are some magnificent, but very expensive, works there. Often these are upstairs or in back of the sales areas. You can get in if you ask or are invited by a salesperson. I can understand why the businesses would not want groups of children or tour groups to enter there. Of course, they would love higher-end art buyers. In the smaller shops, beware that a lot of the cheap glass items might likely be made in China or elsewhere, not Murano. Murano work should be marked so. Also, if you take some time and walk well beyond the commercial area, toward the church called San Donato, passing the Glass Museum, there is a more quiet and "locals" area of Murano, and the church is very nice. Along this walk I passed by a small co-op store of individual glass artists, and bought two hand-crafted glasses very reasonably, that are on the windowsill beside me right this minute. You can easily spend several hours wandering around lovely Burano, including its many small shops and its quiet neighborhoods with small pastel colored homes, generally along small canals or by the coast. Very photogenic town. Also some really excellent seafood restaurants on Burano. Torcello is rural, and the original site of early Venice. It is about a 10-minute walk from the vaporetto stop to the very old church complex of three buildings, including a bell tower. As I remember, the combined ticket to enter the three buildings costs enough, €9 or €10 three years ago, that you might not want to do that unless you have an hour or so to explore them.
Padova is also a very nice mid-sized city, about 30 minutes by train from the Venice station. Easy to get around on foot or by bus/tram. Beautiful Scrovegni Chapel (usually requires advance reservation for a particular time). The main outdoor and indoor market is one of the most beautiful and famous in Italy, also very photogenic. These two sites are a nice walk from the station. The Basilica of San Antonio and other sites are somewhat further. Hmmm, I think I'm due for another visit myself!