Back Bay is safe, live, residential and industrial neighborhood of Boston. It is most famous for its rows of Victorian brownstone homes — considered one of the best preserved examples of 19th-century urban design in the United States — as well as numerous architecturally significant individual buildings, and cultural institutions such as the Boston Public Library.
It is also a fashionable shopping destination (especially Newbury and Boylston Streets as well as Copley Place mall) and home to some of Boston's tallest office buildings, the Hynes Convention Center, and numerous major hotels. Other big sign of district is Trinity Church which consider today as one of the finest buildings in America and National Landmark.
Also you can visit the street market with fresh fruits and veggies, honey, bread etc. I liked the numerous cafes and restaurants, 2 stories Marshall's store and Nordstrom Rack. If you are planning to drive in this area be prepared to traffic due bussiness hours (and I guess all the time). Couple metro stations are here but we used Back Bay station which was the closest to our hotel. Nice, convenient, close to center (10 minutes walk distance), safe area to stay at Boston during your trip.More