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The world's smallest volcano (now extinct) is in Puebla, in the suburb of La Libertad. You can go deep inside the volcano. Next to it is an indoor market with stalls offering prepared food.
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National Museum of Mexican Railroads
One of the largest train museums in North America with a great location in an historic train station. Lots of locomotives and rolling stock. Many of the railway cars are open for tourists to enter. Most signage is in Spanish only.
You can have a private sauna room for M$42-46 per hour. Or go into the common sauna for M$35. Open F-W 08:00-20:00, Su 08:00-16:30
Templo de Santo Domingo, Rosary Chapel
One of the most extravagantly opulent churches in Mexico, this small chapel has been called "The Eighth Wonder of the World" (or "WOW!" for short). The sheer quantity of gold covering virtually every surface of the altar, walls, and dome is jaw dropping, but the extravagance goes further with elaborate talavera tilework and iconic statues and paintings everywhere.
Puebla's historic downtown contains beautiful colonial architecture and was granted UNESCO world heritage status in 1987. The Zocalo is the central plaza is a place to enjoy, where you can find restaurants, bars and cafes.
Palafoxian Library
A library built in the 18th century which contains a unique collection. It is not possible to browse the books; it's more of a museum.
Small graphic arts museum in an historic building. Workshops on Saturday.