We were in Turin on a Sunday and Monday in 2014. To make matters worse, from the tourist perspective, it was Easter Sunday and Monday. Even with that said, I loved our time there. We strolled under the arcades and window-shopped, and eventually found a place to eat Sunday night. On Monday we walked to the Palazzo Reale. It was spectacular and relatively uncrowded. The attached armory collection is one the best I've ever seen. The Shroud of Turin is in a church next to the Palazzo Reale, so we checked out that as well. I would have liked to visit the Palazzo Madama (on the same square), but we were headed to Florence the next day, and wanted to pace ourselves.
I don't know why Turin isn't more popular with Americans. I think you could have a really great time there just walking around and enjoying the Piedmont cuisine and wine.